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156996 = 22327289
BaseRepresentation
bin100110010101000100
321222100200
4212111010
520010441
63210500
71222500
oct462504
9258320
10156996
11a7a54
1276a30
13565c8
1441300
15317b6
hex26544

156996 has 54 divisors (see below), whose sum is σ = 466830. Its totient is φ = 44352.

The previous prime is 156979. The next prime is 157007. The reversal of 156996 is 699651.

156996 is a `hidden beast` number, since 1 + 569 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 44100 = 336^2 + 210^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 156996.

It is an unprimeable 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 17 ways as a sum of consecutive naturals, for example, 1720 + ... + 1808.

It is an arithmetic number, because the mean of its divisors is an integer number (8645).

2156996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233415).

156996 is an abundant number, since it is smaller than the sum of its proper divisors (309834).

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

156996 is a wasteful number, since it uses less digits than its factorization.

156996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 156996 is about 396.2272075464. The cubic root of 156996 is about 53.9464489694.

The spelling of 156996 in words is "one hundred fifty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 89 98 126 147 178 196 252 267 294 356 441 534 588 623 801 882 1068 1246 1602 1764 1869 2492 3204 3738 4361 5607 7476 8722 11214 13083 17444 22428 26166 39249 52332 78498 156996