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164291440 = 2452053643
BaseRepresentation
bin10011100101011…
…10001101110000
3102110010212111011
421302232031300
5314024311230
624145200304
74033311535
oct1162561560
9373125434
10164291440
1184813655
1247030094
1328063b91
1417b68d8c
15e653e2a
hex9cae370

164291440 has 20 divisors (see below), whose sum is σ = 381977784. Its totient is φ = 65716544.

The previous prime is 164291431. The next prime is 164291441. The reversal of 164291440 is 44192461.

164291440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164291441) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1026742 + ... + 1026901.

Almost surely, 2164291440 is an apocalyptic number.

164291440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164291440 is an abundant number, since it is smaller than the sum of its proper divisors (217686344).

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

164291440 is a wasteful number, since it uses less digits than its factorization.

164291440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053656 (or 2053650 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 164291440 is about 12817.6222443946. The cubic root of 164291440 is about 547.6944146686.

The spelling of 164291440 in words is "one hundred sixty-four million, two hundred ninety-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2053643 4107286 8214572 10268215 16429144 20536430 32858288 41072860 82145720 164291440