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157086 = 2332909
BaseRepresentation
bin100110010110011110
321222111000
4212112132
520011321
63211130
71222656
oct462636
9258430
10157086
11a8026
1276aa6
1356667
1441366
1531826
hex2659e

157086 has 16 divisors (see below), whose sum is σ = 349200. Its totient is φ = 52344.

The previous prime is 157081. The next prime is 157103. The reversal of 157086 is 680751.

It is a super-2 number, since 2×1570862 = 49352022792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157081) by changing a digit.

157086 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1401 + ... + 1508.

It is an arithmetic number, because the mean of its divisors is an integer number (21825).

2157086 is an apocalyptic number.

157086 is an abundant number, since it is smaller than the sum of its proper divisors (192114).

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

157086 is a wasteful number, since it uses less digits than its factorization.

157086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2914 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 157086 is about 396.3407624759. The cubic root of 157086 is about 53.9567555015.

Adding to 157086 its product of nonzero digits (1680), we get a triangular number (158766 = T563).

The spelling of 157086 in words is "one hundred fifty-seven thousand, eighty-six".

Divisors: 1 2 3 6 9 18 27 54 2909 5818 8727 17454 26181 52362 78543 157086