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157982720 = 213571929
BaseRepresentation
bin10010110101010…
…10000000000000
3102000021100112212
421122222000000
5310420421340
623402041252
73625555010
oct1132520000
9360240485
10157982720
11811a4835
1244aa9228
13269654cc
1416da5c40
15dd09a65
hex96aa000

157982720 has 224 divisors, whose sum is σ = 471830400. Its totient is φ = 49545216.

The previous prime is 157982719. The next prime is 157982723. The reversal of 157982720 is 27289751.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157982723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5447666 + ... + 5447694.

Almost surely, 2157982720 is an apocalyptic number.

157982720 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 157982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235915200).

157982720 is an abundant number, since it is smaller than the sum of its proper divisors (313847680).

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

157982720 is an equidigital number, since it uses as much as digits as its factorization.

157982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 41.

The square root of 157982720 is about 12569.1177096883. The cubic root of 157982720 is about 540.5923084690.

The spelling of 157982720 in words is "one hundred fifty-seven million, nine hundred eighty-two thousand, seven hundred twenty".