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142000240 = 2452997631
BaseRepresentation
bin10000111011011…
…00000001110000
3100220012100201011
420131230001300
5242323001430
622031320304
73342660604
oct1035540160
9326170634
10142000240
1173178978
123b680094
132355a915
1414c05504
15c6ee22a
hex876c070

142000240 has 80 divisors (see below), whose sum is σ = 345602880. Its totient is φ = 54190080.

The previous prime is 142000169. The next prime is 142000241. The reversal of 142000240 is 42000241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 142000240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142000241) 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 15 ways as a sum of consecutive naturals, for example, 224725 + ... + 225355.

It is an arithmetic number, because the mean of its divisors is an integer number (4320036).

Almost surely, 2142000240 is an apocalyptic number.

142000240 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 142000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172801440).

142000240 is an abundant number, since it is smaller than the sum of its proper divisors (203602640).

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

142000240 is a wasteful number, since it uses less digits than its factorization.

142000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 142000240 is about 11916.3853579850. The cubic root of 142000240 is about 521.7106385488.

Adding to 142000240 its reverse (42000241), we get a palindrome (184000481).

Subtracting from 142000240 its reverse (42000241), we obtain a palindrome (99999999).

The spelling of 142000240 in words is "one hundred forty-two million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 97 116 145 194 232 290 388 464 485 580 631 776 970 1160 1262 1552 1940 2320 2524 2813 3155 3880 5048 5626 6310 7760 10096 11252 12620 14065 18299 22504 25240 28130 36598 45008 50480 56260 61207 73196 91495 112520 122414 146392 182990 225040 244828 292784 306035 365980 489656 612070 731960 979312 1224140 1463920 1775003 2448280 3550006 4896560 7100012 8875015 14200024 17750030 28400048 35500060 71000120 142000240