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157827060 = 22325876817
BaseRepresentation
bin10010110100000…
…11111111110100
3101222222110000200
421122003333310
5310400431220
623354440500
73624336126
oct1132037764
9358873020
10157827060
11810a8896
1244a33130
132690c6c1
1416d65216
15dcc8890
hex9683ff4

157827060 has 36 divisors (see below), whose sum is σ = 478742628. Its totient is φ = 42087168.

The previous prime is 157827037. The next prime is 157827067. The reversal of 157827060 is 60728751.

157827060 is a `hidden beast` number, since 1 + 578 + 27 + 0 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67272804 + 90554256 = 8202^2 + 9516^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (157827067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 438229 + ... + 438588.

Almost surely, 2157827060 is an apocalyptic number.

157827060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157827060 is an abundant number, since it is smaller than the sum of its proper divisors (320915568).

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

157827060 is a wasteful number, since it uses less digits than its factorization.

157827060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876832 (or 876827 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 157827060 is about 12562.9240226947. The cubic root of 157827060 is about 540.4147020173.

The spelling of 157827060 in words is "one hundred fifty-seven million, eight hundred twenty-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 876817 1753634 2630451 3507268 4384085 5260902 7891353 8768170 10521804 13152255 15782706 17536340 26304510 31565412 39456765 52609020 78913530 157827060