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160272072 = 23322226001
BaseRepresentation
bin10011000110110…
…00111011001000
3102011120122221200
421203120323020
5312012201242
623523104200
73654201342
oct1143307310
9364518850
10160272072
1182518864
1245812060
132728755c
1417400292
15e10d04c
hex98d8ec8

160272072 has 24 divisors (see below), whose sum is σ = 434070390. Its totient is φ = 53424000.

The previous prime is 160272041. The next prime is 160272121. The reversal of 160272072 is 270272061.

It can be written as a sum of positive squares in only one way, i.e., 152621316 + 7650756 = 12354^2 + 2766^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1112929 + ... + 1113072.

Almost surely, 2160272072 is an apocalyptic number.

160272072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

160272072 is an abundant number, since it is smaller than the sum of its proper divisors (273798318).

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

160272072 is a wasteful number, since it uses less digits than its factorization.

160272072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226013 (or 2226006 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 160272072 is about 12659.8606627403. The cubic root of 160272072 is about 543.1910644944.

The spelling of 160272072 in words is "one hundred sixty million, two hundred seventy-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2226001 4452002 6678003 8904004 13356006 17808008 20034009 26712012 40068018 53424024 80136036 160272072