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157325520 = 243511232591
BaseRepresentation
bin10010110000010…
…01100011010000
3101222000222001010
421120021203100
5310233404040
623340010520
73620146662
oct1130114320
9358028033
10157325520
1180895aa0
1244830a40
1326795331
1416c74532
15dc29e80
hex96098d0

157325520 has 160 divisors (see below), whose sum is σ = 555393024. Its totient is φ = 36467200.

The previous prime is 157325513. The next prime is 157325521. The reversal of 157325520 is 25523751.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157325521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59425 + ... + 62015.

Almost surely, 2157325520 is an apocalyptic number.

157325520 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 157325520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277696512).

157325520 is an abundant number, since it is smaller than the sum of its proper divisors (398067504).

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

157325520 is a wasteful number, since it uses less digits than its factorization.

157325520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 157325520 is about 12542.9470221316. The cubic root of 157325520 is about 539.8416545327.

The spelling of 157325520 in words is "one hundred fifty-seven million, three hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 759 880 920 1012 1104 1265 1320 1380 1518 1840 2024 2530 2591 2640 2760 3036 3795 4048 5060 5182 5520 6072 7590 7773 10120 10364 12144 12955 15180 15546 20240 20728 25910 28501 30360 31092 38865 41456 51820 57002 59593 60720 62184 77730 85503 103640 114004 119186 124368 142505 155460 171006 178779 207280 228008 238372 285010 297965 310920 342012 357558 427515 456016 476744 570020 595930 621840 655523 684024 715116 855030 893895 953488 1140040 1191860 1311046 1368048 1430232 1710060 1787790 1966569 2280080 2383720 2622092 2860464 3277615 3420120 3575580 3933138 4767440 5244184 6555230 6840240 7151160 7866276 9832845 10488368 13110460 14302320 15732552 19665690 26220920 31465104 39331380 52441840 78662760 157325520