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157120560 = 2434524247
BaseRepresentation
bin10010101110101…
…11100000110000
3101221122112220000
421113113200300
5310210324220
623331350000
73615334302
oct1127274060
9357575800
10157120560
1180766003
1244752300
1326722c5c
1416c1d972
15dbd9390
hex95d7830

157120560 has 100 divisors (see below), whose sum is σ = 545725488. Its totient is φ = 41897088.

The previous prime is 157120553. The next prime is 157120573. The reversal of 157120560 is 65021751.

157120560 is a `hidden beast` number, since 15 + 71 + 20 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 5644 + ... + 18603.

Almost surely, 2157120560 is an apocalyptic number.

157120560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157120560 is an abundant number, since it is smaller than the sum of its proper divisors (388604928).

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

157120560 is a wasteful number, since it uses less digits than its factorization.

157120560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24272 (or 24257 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 157120560 is about 12534.7740306716. The cubic root of 157120560 is about 539.6071216371.

The spelling of 157120560 in words is "one hundred fifty-seven million, one hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 24247 48494 72741 96988 121235 145482 193976 218223 242470 290964 363705 387952 436446 484940 581928 654669 727410 872892 969880 1091115 1163856 1309338 1454820 1745784 1939760 1964007 2182230 2618676 2909640 3273345 3491568 3928014 4364460 5237352 5819280 6546690 7856028 8728920 9820035 10474704 13093380 15712056 17457840 19640070 26186760 31424112 39280140 52373520 78560280 157120560