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157103310 = 23572138221
BaseRepresentation
bin10010101110100…
…11010011001110
3101221121200020010
421113103103032
5310204301220
623331134050
73615233100
oct1127232316
9357550203
10157103310
1180754051
1244744326
1326718150
1416c17570
15dbd41e0
hex95d34ce

157103310 has 96 divisors (see below), whose sum is σ = 472403232. Its totient is φ = 33143040.

The previous prime is 157103299. The next prime is 157103327. The reversal of 157103310 is 13301751.

It is a super-2 number, since 2×1571033102 = 49362900025912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15000 + ... + 23220.

It is an arithmetic number, because the mean of its divisors is an integer number (4920867).

Almost surely, 2157103310 is an apocalyptic number.

157103310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157103310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236201616).

157103310 is an abundant number, since it is smaller than the sum of its proper divisors (315299922).

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

157103310 is a wasteful number, since it uses less digits than its factorization.

157103310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8258 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 157103310 is about 12534.0859259860. The cubic root of 157103310 is about 539.5873733972.

The spelling of 157103310 in words is "one hundred fifty-seven million, one hundred three thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1274 1365 1470 1911 2730 3185 3822 6370 8221 9555 16442 19110 24663 41105 49326 57547 82210 106873 115094 123315 172641 213746 246630 287735 320619 345282 402829 534365 575470 641238 748111 805658 863205 1068730 1208487 1496222 1603095 1726410 2014145 2244333 2416974 3206190 3740555 4028290 4488666 5236777 6042435 7481110 10473554 11221665 12084870 15710331 22443330 26183885 31420662 52367770 78551655 157103310