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157347072 = 2832312203
BaseRepresentation
bin10010110000011…
…10110100000000
3101222002001121100
421120032310000
5310240101242
623340254400
73620266551
oct1130166400
9358061540
10157347072
1180900203
1244841400
13267a209c
1416c7c328
15dc3154c
hex960ed00

157347072 has 108 divisors (see below), whose sum is σ = 468517504. Its totient is φ = 50734080.

The previous prime is 157347067. The next prime is 157347079. The reversal of 157347072 is 270743751.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157347079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70323 + ... + 72525.

Almost surely, 2157347072 is an apocalyptic number.

157347072 is a gapful number since it is divisible by the number (12) 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 157347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234258752).

157347072 is an abundant number, since it is smaller than the sum of its proper divisors (311170432).

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

157347072 is a wasteful number, since it uses less digits than its factorization.

157347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 157347072 is about 12543.8061209507. The cubic root of 157347072 is about 539.8663043503.

The spelling of 157347072 in words is "one hundred fifty-seven million, three hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1984 2203 2232 2304 2976 3968 4406 4464 5952 6609 7936 8812 8928 11904 13218 17624 17856 19827 23808 26436 35248 35712 39654 52872 68293 70496 71424 79308 105744 136586 140992 158616 204879 211488 273172 281984 317232 409758 422976 546344 563968 614637 634464 819516 845952 1092688 1229274 1268928 1639032 1691904 2185376 2458548 2537856 3278064 4370752 4917096 5075712 6556128 8741504 9834192 13112256 17483008 19668384 26224512 39336768 52449024 78673536 157347072