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141252320 = 25511174721
BaseRepresentation
bin10000110101101…
…01011011100000
3100211210100202102
420122311123200
5242130033240
622003305532
73333424226
oct1032653340
9324710672
10141252320
1172807a60
123b37b2a8
1323358371
1414a8cb16
15c602815
hex86b56e0

141252320 has 96 divisors (see below), whose sum is σ = 385541856. Its totient is φ = 48332800.

The previous prime is 141252317. The next prime is 141252329. The reversal of 141252320 is 23252141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141252292 and 141252301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141252329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27560 + ... + 32280.

It is an arithmetic number, because the mean of its divisors is an integer number (4016061).

Almost surely, 2141252320 is an apocalyptic number.

141252320 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 141252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192770928).

141252320 is an abundant number, since it is smaller than the sum of its proper divisors (244289536).

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

141252320 is a wasteful number, since it uses less digits than its factorization.

141252320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4764 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 141252320 is about 11884.9619267375. The cubic root of 141252320 is about 520.7930699257.

The spelling of 141252320 in words is "one hundred forty-one million, two hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 4721 5984 7480 9442 14960 18884 23605 29920 37768 47210 51931 75536 80257 94420 103862 151072 160514 188840 207724 259655 321028 377680 401285 415448 519310 642056 755360 802570 830896 882827 1038620 1284112 1605140 1661792 1765654 2077240 2568224 3210280 3531308 4154480 4414135 6420560 7062616 8308960 8828270 12841120 14125232 17656540 28250464 35313080 70626160 141252320