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156960 = 25325109
BaseRepresentation
bin100110010100100000
321222022100
4212110200
520010320
63210400
71222416
oct462440
9258270
10156960
11a7a21
1276a00
135659b
14412b6
1531790
hex26520

156960 has 72 divisors (see below), whose sum is σ = 540540. Its totient is φ = 41472.

The previous prime is 156943. The next prime is 156967. The reversal of 156960 is 69651.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 144 = 396^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (156967) by changing a digit.

156960 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 11 ways as a sum of consecutive naturals, for example, 1386 + ... + 1494.

2156960 is an apocalyptic number.

156960 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 156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270270).

156960 is an abundant number, since it is smaller than the sum of its proper divisors (383580).

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

156960 is a wasteful number, since it uses less digits than its factorization.

156960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 156960 is about 396.1817764613. The cubic root of 156960 is about 53.9423252536.

The spelling of 156960 in words is "one hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 109 120 144 160 180 218 240 288 327 360 436 480 545 654 720 872 981 1090 1308 1440 1635 1744 1962 2180 2616 3270 3488 3924 4360 4905 5232 6540 7848 8720 9810 10464 13080 15696 17440 19620 26160 31392 39240 52320 78480 156960