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157103936 = 26111713127
BaseRepresentation
bin10010101110100…
…11011101000000
3101221121201002022
421113103131000
5310204311221
623331141012
73615234653
oct1127233500
9357551068
10157103936
1180754570
1244744768
1326718512
1416c1789a
15dbd44ab
hex95d3740

157103936 has 56 divisors (see below), whose sum is σ = 360127296. Its totient is φ = 67205120.

The previous prime is 157103929. The next prime is 157103971. The reversal of 157103936 is 639301751.

It is a junction number, because it is equal to n+sod(n) for n = 157103896 and 157103905.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5405 + ... + 18531.

Almost surely, 2157103936 is an apocalyptic number.

157103936 is a gapful number since it is divisible by the number (16) 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 157103936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180063648).

157103936 is an abundant number, since it is smaller than the sum of its proper divisors (203023360).

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

157103936 is a wasteful number, since it uses less digits than its factorization.

157103936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13167 (or 13157 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 157103936 is about 12534.1108978659. The cubic root of 157103936 is about 539.5880900833.

The spelling of 157103936 in words is "one hundred fifty-seven million, one hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 11968 13127 26254 52508 105016 144397 210032 223159 288794 420064 446318 577588 840128 892636 1155176 1785272 2310352 2454749 3570544 4620704 4909498 7141088 9241408 9818996 14282176 19637992 39275984 78551968 157103936