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157121160 = 23357187049
BaseRepresentation
bin10010101110101…
…11101010001000
3101221122120201020
421113113222020
5310210334120
623331352440
73615336120
oct1127275210
9357576636
10157121160
11807664a9
1244752720
1326723301
1416c1dc80
15dbd9640
hex95d7a88

157121160 has 64 divisors (see below), whose sum is σ = 538704000. Its totient is φ = 35913216.

The previous prime is 157121137. The next prime is 157121171. The reversal of 157121160 is 61121751.

157121160 is digitally balanced in base 2, 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 157121160.

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, 92685 + ... + 94364.

It is an arithmetic number, because the mean of its divisors is an integer number (8417250).

Almost surely, 2157121160 is an apocalyptic number.

157121160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157121160 is an abundant number, since it is smaller than the sum of its proper divisors (381582840).

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

157121160 is a wasteful number, since it uses less digits than its factorization.

157121160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187070 (or 187066 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

The square root of 157121160 is about 12534.7979640679. The cubic root of 157121160 is about 539.6078085064.

The spelling of 157121160 in words is "one hundred fifty-seven million, one hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 187049 374098 561147 748196 935245 1122294 1309343 1496392 1870490 2244588 2618686 2805735 3740980 3928029 4489176 5237372 5611470 6546715 7481960 7856058 10474744 11222940 13093430 15712116 19640145 22445880 26186860 31424232 39280290 52373720 78560580 157121160