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157011320 = 23517733163
BaseRepresentation
bin10010101101111…
…00110101111000
3101221110000001002
421112330311320
5310143330240
623325144132
73614400644
oct1126746570
9357400032
10157011320
11806a0a24
12446bb048
13266b530b
1416bd1c24
15dbb6d15
hex95bcd78

157011320 has 64 divisors (see below), whose sum is σ = 379300320. Its totient is φ = 58281984.

The previous prime is 157011301. The next prime is 157011343. The reversal of 157011320 is 23110751.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 157011292 and 157011301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48059 + ... + 51221.

Almost surely, 2157011320 is an apocalyptic number.

157011320 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 157011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189650160).

157011320 is an abundant number, since it is smaller than the sum of its proper divisors (222289000).

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

157011320 is a wasteful number, since it uses less digits than its factorization.

157011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 157011320 is about 12530.4157951762. The cubic root of 157011320 is about 539.4820364830.

The spelling of 157011320 in words is "one hundred fifty-seven million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 73 85 136 146 170 292 340 365 584 680 730 1241 1460 2482 2920 3163 4964 6205 6326 9928 12410 12652 15815 24820 25304 31630 49640 53771 63260 107542 126520 215084 230899 268855 430168 461798 537710 923596 1075420 1154495 1847192 2150840 2308990 3925283 4617980 7850566 9235960 15701132 19626415 31402264 39252830 78505660 157011320