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164120940 = 22325911783
BaseRepresentation
bin10011100100001…
…00100101101100
3102102211012121100
421302010211230
5314003332230
624141403100
74032001464
oct1162044554
9372735540
10164120940
1184707545
1246b69490
13280043a9
1417b22ba4
15e61d660
hex9c8496c

164120940 has 36 divisors (see below), whose sum is σ = 497834064. Its totient is φ = 43765536.

The previous prime is 164120933. The next prime is 164120953. The reversal of 164120940 is 49021461.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 455712 + ... + 456071.

It is an arithmetic number, because the mean of its divisors is an integer number (13828724).

Almost surely, 2164120940 is an apocalyptic number.

164120940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164120940 is an abundant number, since it is smaller than the sum of its proper divisors (333713124).

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

164120940 is a wasteful number, since it uses less digits than its factorization.

164120940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911798 (or 911793 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 164120940 is about 12810.9695183464. The cubic root of 164120940 is about 547.5048851757.

It can be divided in two parts, 164 and 120940, that added together give a square (121104 = 3482).

The spelling of 164120940 in words is "one hundred sixty-four million, one hundred twenty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 911783 1823566 2735349 3647132 4558915 5470698 8206047 9117830 10941396 13676745 16412094 18235660 27353490 32824188 41030235 54706980 82060470 164120940