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157428720 = 24325218651
BaseRepresentation
bin10010110001000…
…10101111110000
3101222020012121100
421120202233300
5310300204340
623342124400
73621056601
oct1130425760
9358205540
10157428720
1180956589
1244880700
13268002b7
1416c9dda8
15dc4a830
hex9622bf0

157428720 has 60 divisors (see below), whose sum is σ = 528700536. Its totient is φ = 41980800.

The previous prime is 157428683. The next prime is 157428727. The reversal of 157428720 is 27824751.

157428720 is a `hidden beast` number, since 1 + 574 + 2 + 87 + 2 + 0 = 666.

157428720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157428727) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 108606 + ... + 110045.

Almost surely, 2157428720 is an apocalyptic number.

157428720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157428720 is an abundant number, since it is smaller than the sum of its proper divisors (371271816).

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

157428720 is a wasteful number, since it uses less digits than its factorization.

157428720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218670 (or 218661 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 157428720 is about 12547.0602134524. The cubic root of 157428720 is about 539.9596677696.

The spelling of 157428720 in words is "one hundred fifty-seven million, four hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 218651 437302 655953 874604 1093255 1311906 1749208 1967859 2186510 2623812 3279765 3498416 3935718 4373020 5247624 6559530 7871436 8746040 9839295 10495248 13119060 15742872 17492080 19678590 26238120 31485744 39357180 52476240 78714360 157428720