Search a number
-
+
157860 = 22325877
BaseRepresentation
bin100110100010100100
322000112200
4212202210
520022420
63214500
71225143
oct464244
9260480
10157860
11a866a
1277430
1356b11
144175a
1531b90
hex268a4

157860 has 36 divisors (see below), whose sum is σ = 479388. Its totient is φ = 42048.

The previous prime is 157841. The next prime is 157867. The reversal of 157860 is 68751.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 60516 = 312^2 + 246^2 .

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

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (157867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259 + ... + 618.

2157860 is an apocalyptic number.

157860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

157860 is an abundant number, since it is smaller than the sum of its proper divisors (321528).

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

157860 is a wasteful number, since it uses less digits than its factorization.

157860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 887 counting only the distinct ones).

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

The square root of 157860 is about 397.3159951474. The cubic root of 157860 is about 54.0452295955.

It can be divided in two parts, 15 and 7860, that added together give a triangular number (7875 = T125).

The spelling of 157860 in words is "one hundred fifty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 877 1754 2631 3508 4385 5262 7893 8770 10524 13155 15786 17540 26310 31572 39465 52620 78930 157860