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155960 = 2357557
BaseRepresentation
bin100110000100111000
321220221022
4212010320
514442320
63202012
71216460
oct460470
9256838
10155960
11a71a2
1276308
1355cac
1440ba0
1531325
hex26138

155960 has 32 divisors (see below), whose sum is σ = 401760. Its totient is φ = 53376.

The previous prime is 155921. The next prime is 156007. The reversal of 155960 is 69551.

155960 = T225 + T226 + ... + T230.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 155960.

It is an unprimeable number.

155960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 2 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (12555).

2155960 is an apocalyptic number.

155960 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 155960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880).

155960 is an abundant number, since it is smaller than the sum of its proper divisors (245800).

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

155960 is a wasteful number, since it uses less digits than its factorization.

155960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 155960 is about 394.9177129479. The cubic root of 155960 is about 53.8275246911.

The spelling of 155960 in words is "one hundred fifty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 557 1114 2228 2785 3899 4456 5570 7798 11140 15596 19495 22280 31192 38990 77980 155960