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157051020 = 223571792089
BaseRepresentation
bin10010101110001…
…10100010001100
3101221112000111110
421113012202030
5310201113040
623330052020
73614624460
oct1127064214
9357460443
10157051020
1180718835
124471a010
13266ca3c9
1416c024a0
15dbc3980
hex95c688c

157051020 has 96 divisors (see below), whose sum is σ = 505612800. Its totient is φ = 35679744.

The previous prime is 157051019. The next prime is 157051039. The reversal of 157051020 is 20150751.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74136 + ... + 76224.

It is an arithmetic number, because the mean of its divisors is an integer number (5266800).

Almost surely, 2157051020 is an apocalyptic number.

157051020 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 157051020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252806400).

157051020 is an abundant number, since it is smaller than the sum of its proper divisors (348561780).

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

157051020 is a wasteful number, since it uses less digits than its factorization.

157051020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 157051020 is about 12531.9998404086. Note that the first 3 decimals coincide. The cubic root of 157051020 is about 539.5275016379.

The spelling of 157051020 in words is "one hundred fifty-seven million, fifty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 179 210 358 420 537 716 895 1074 1253 1790 2089 2148 2506 2685 3580 3759 4178 5012 5370 6265 6267 7518 8356 10445 10740 12530 12534 14623 15036 18795 20890 25060 25068 29246 31335 37590 41780 43869 58492 62670 73115 75180 87738 125340 146230 175476 219345 292460 373931 438690 747862 877380 1121793 1495724 1869655 2243586 2617517 3739310 4487172 5235034 5608965 7478620 7852551 10470068 11217930 13087585 15705102 22435860 26175170 31410204 39262755 52350340 78525510 157051020