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157539900 = 22352731531
BaseRepresentation
bin10010110001111…
…01111000111100
3101222102212010010
421120331320330
5310312234100
623344343220
73622032000
oct1130757074
9358385103
10157539900
1180a22071
1244914b10
132683ba9b
1416ccc700
15dc6d750
hex963de3c

157539900 has 144 divisors (see below), whose sum is σ = 531910400. Its totient is φ = 35985600.

The previous prime is 157539883. The next prime is 157540007. The reversal of 157539900 is 9935751.

157539900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 102135 + ... + 103665.

Almost surely, 2157539900 is an apocalyptic number.

157539900 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 157539900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265955200).

157539900 is an abundant number, since it is smaller than the sum of its proper divisors (374370500).

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

157539900 is a wasteful number, since it uses less digits than its factorization.

157539900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 42525, while the sum is 39.

The square root of 157539900 is about 12551.4899513962. The cubic root of 157539900 is about 540.0867487520.

The spelling of 157539900 in words is "one hundred fifty-seven million, five hundred thirty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 343 350 420 490 525 588 686 700 735 980 1029 1050 1225 1372 1470 1531 1715 2058 2100 2450 2940 3062 3430 3675 4116 4593 4900 5145 6124 6860 7350 7655 8575 9186 10290 10717 14700 15310 17150 18372 20580 21434 22965 25725 30620 32151 34300 38275 42868 45930 51450 53585 64302 75019 76550 91860 102900 107170 114825 128604 150038 153100 160755 214340 225057 229650 267925 300076 321510 375095 450114 459300 525133 535850 643020 750190 803775 900228 1050266 1071700 1125285 1500380 1575399 1607550 1875475 2100532 2250570 2625665 3150798 3215100 3750950 4501140 5251330 5626425 6301596 7501900 7876995 10502660 11252850 13128325 15753990 22505700 26256650 31507980 39384975 52513300 78769950 157539900