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141240420 = 2232517101457
BaseRepresentation
bin10000110101100…
…10100001100100
3100211202202102200
420122302201210
5242124143140
622003134500
73333344436
oct1032624144
9324682380
10141240420
11727aa022
123b374430
1323352b19
1414a88656
15c5ee030
hex86b2864

141240420 has 144 divisors (see below), whose sum is σ = 459124848. Its totient is φ = 35020800.

The previous prime is 141240413. The next prime is 141240427. The reversal of 141240420 is 24042141.

141240420 is a `hidden beast` number, since 1 + 4 + 1 + 240 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (141240413) and next prime (141240427).

It can be written as a sum of positive squares in 8 ways, for example, as 41679936 + 99560484 = 6456^2 + 9978^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 141240393 and 141240402.

It is not an unprimeable number, because it can be changed into a prime (141240427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308832 + ... + 309288.

It is an arithmetic number, because the mean of its divisors is an integer number (3188367).

Almost surely, 2141240420 is an apocalyptic number.

141240420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141240420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229562424).

141240420 is an abundant number, since it is smaller than the sum of its proper divisors (317884428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141240420 is a wasteful number, since it uses less digits than its factorization.

141240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 141240420 is about 11884.4612835416. The cubic root of 141240420 is about 520.7784445339.

Adding to 141240420 its reverse (24042141), we get a palindrome (165282561).

The spelling of 141240420 in words is "one hundred forty-one million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 101 102 153 170 180 202 204 255 303 306 340 404 457 505 510 606 612 765 909 914 1010 1020 1212 1371 1515 1530 1717 1818 1828 2020 2285 2742 3030 3060 3434 3636 4113 4545 4570 5151 5484 6060 6855 6868 7769 8226 8585 9090 9140 10302 13710 15453 15538 16452 17170 18180 20565 20604 23307 25755 27420 30906 31076 34340 38845 41130 46157 46614 51510 61812 69921 77265 77690 82260 92314 93228 103020 116535 138471 139842 154530 155380 184628 230785 233070 276942 279684 309060 349605 415413 461570 466140 553884 692355 699210 784669 830826 923140 1384710 1398420 1569338 1661652 2077065 2354007 2769420 3138676 3923345 4154130 4708014 7062021 7846690 8308260 9416028 11770035 14124042 15693380 23540070 28248084 35310105 47080140 70620210 141240420