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156805920 = 25325108893
BaseRepresentation
bin10010101100010…
…10101100100000
3101221001120021200
421112022230200
5310120242140
623320521200
73612554055
oct1126125440
9357046250
10156805920
1180570677
1244620200
132664298b
1416b7b02c
15db76030
hex958ab20

156805920 has 72 divisors (see below), whose sum is σ = 535105116. Its totient is φ = 41814528.

The previous prime is 156805867. The next prime is 156805921. The reversal of 156805920 is 29508651.

It is a happy number.

156805920 is a `hidden beast` number, since 1 + 5 + 68 + 0 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 155451024 + 1354896 = 12468^2 + 1164^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (156805921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53007 + ... + 55886.

Almost surely, 2156805920 is an apocalyptic number.

156805920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

156805920 is an abundant number, since it is smaller than the sum of its proper divisors (378299196).

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

156805920 is a wasteful number, since it uses less digits than its factorization.

156805920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108914 (or 108903 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 156805920 is about 12522.2170560967. The cubic root of 156805920 is about 539.2466862222.

The spelling of 156805920 in words is "one hundred fifty-six million, eight hundred five thousand, nine hundred twenty".

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 96 120 144 160 180 240 288 360 480 720 1440 108893 217786 326679 435572 544465 653358 871144 980037 1088930 1306716 1633395 1742288 1960074 2177860 2613432 3266790 3484576 3920148 4355720 4900185 5226864 6533580 7840296 8711440 9800370 10453728 13067160 15680592 17422880 19600740 26134320 31361184 39201480 52268640 78402960 156805920