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157217720 = 2351132953
BaseRepresentation
bin10010101111011…
…11001110111000
3101221211111011112
421113233032320
5310221431340
623333415452
73616220462
oct1127571670
9357744145
10157217720
1180822000
124479a588
132675824a
1416c47132
15dc08065
hex95ef3b8

157217720 has 64 divisors (see below), whose sum is σ = 389219040. Its totient is φ = 57150720.

The previous prime is 157217689. The next prime is 157217741. The reversal of 157217720 is 27712751.

It is a super-2 number, since 2×1572177202 = 49434822963996800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51764 + ... + 54716.

Almost surely, 2157217720 is an apocalyptic number.

157217720 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 157217720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194609520).

157217720 is an abundant number, since it is smaller than the sum of its proper divisors (232001320).

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

157217720 is a wasteful number, since it uses less digits than its factorization.

157217720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 32.

The square root of 157217720 is about 12538.6490500372. The cubic root of 157217720 is about 539.7183258928.

The spelling of 157217720 in words is "one hundred fifty-seven million, two hundred seventeen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1331 2420 2662 2953 4840 5324 5906 6655 10648 11812 13310 14765 23624 26620 29530 32483 53240 59060 64966 118120 129932 162415 259864 324830 357313 649660 714626 1299320 1429252 1786565 2858504 3573130 3930443 7146260 7860886 14292520 15721772 19652215 31443544 39304430 78608860 157217720