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157351936 = 21674
BaseRepresentation
bin10010110000100…
…00000000000000
3101222002022021111
421120100000000
5310240230221
623340333104
73620320000
oct1130200000
9358068244
10157351936
1180903925
1244844194
13267a4371
1416c80000
15dc32be1
hex9610000

157351936 has 85 divisors (see below), whose sum is σ = 367129871. Its totient is φ = 67436544.

The previous prime is 157351913. The next prime is 157351951. The reversal of 157351936 is 639153751.

It is a happy number.

The square root of 157351936 is 12544.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (85050) is a multiple of the sum of its prime divisors (9).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 22478845 + ... + 22478851.

Almost surely, 2157351936 is an apocalyptic number.

157351936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

157351936 is the 12544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157351936

157351936 is an abundant number, since it is smaller than the sum of its proper divisors (209777935).

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

157351936 is an frugal number, since it uses more digits than its factorization.

157351936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 9 counting only the distinct ones).

The product of its digits is 85050, while the sum is 40.

The cubic root of 157351936 is about 539.8718671753.

It can be divided in two parts, 15735 and 1936, that added together give a palindrome (17671).

The spelling of 157351936 in words is "one hundred fifty-seven million, three hundred fifty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 448 512 686 784 896 1024 1372 1568 1792 2048 2401 2744 3136 3584 4096 4802 5488 6272 7168 8192 9604 10976 12544 14336 16384 19208 21952 25088 28672 32768 38416 43904 50176 57344 65536 76832 87808 100352 114688 153664 175616 200704 229376 307328 351232 401408 458752 614656 702464 802816 1229312 1404928 1605632 2458624 2809856 3211264 4917248 5619712 9834496 11239424 19668992 22478848 39337984 78675968 157351936