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157354500 = 22353234561
BaseRepresentation
bin10010110000100…
…00101000000100
3101222002102210110
421120100220010
5310240321000
623340353020
73620330322
oct1130205004
9358072713
10157354500
1180905846
1244845770
13267a5594
1416c80d12
15dc33850
hex9610a04

157354500 has 96 divisors (see below), whose sum is σ = 478243584. Its totient is φ = 40128000.

The previous prime is 157354489. The next prime is 157354507. The reversal of 157354500 is 5453751.

157354500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (157354507) 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, 32220 + ... + 36780.

It is an arithmetic number, because the mean of its divisors is an integer number (4981704).

Almost surely, 2157354500 is an apocalyptic number.

157354500 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 157354500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239121792).

157354500 is an abundant number, since it is smaller than the sum of its proper divisors (320889084).

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

157354500 is a wasteful number, since it uses less digits than its factorization.

157354500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4594 counting only the distinct ones).

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

The square root of 157354500 is about 12544.1021998388. The cubic root of 157354500 is about 539.8747995064.

The spelling of 157354500 in words is "one hundred fifty-seven million, three hundred fifty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 125 138 150 230 250 276 300 345 375 460 500 575 690 750 1150 1380 1500 1725 2300 2875 3450 4561 5750 6900 8625 9122 11500 13683 17250 18244 22805 27366 34500 45610 54732 68415 91220 104903 114025 136830 209806 228050 273660 314709 342075 419612 456100 524515 570125 629418 684150 1049030 1140250 1258836 1368300 1573545 1710375 2098060 2280500 2622575 3147090 3420750 5245150 6294180 6841500 7867725 10490300 13112875 15735450 26225750 31470900 39338625 52451500 78677250 157354500