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164275104 = 2537244457
BaseRepresentation
bin10011100101010…
…10001110100000
3102110010001002010
421302222032200
5314023300404
624144552520
74033213110
oct1162521640
9373101063
10164275104
1184802354
1247022740
1328059606
1417b63040
15e64e189
hex9caa3a0

164275104 has 48 divisors (see below), whose sum is σ = 492827328. Its totient is φ = 46935552.

The previous prime is 164275087. The next prime is 164275109. The reversal of 164275104 is 401572461.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (164275109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121557 + ... + 122900.

It is an arithmetic number, because the mean of its divisors is an integer number (10267236).

Almost surely, 2164275104 is an apocalyptic number.

164275104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164275104 is an abundant number, since it is smaller than the sum of its proper divisors (328552224).

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

164275104 is a wasteful number, since it uses less digits than its factorization.

164275104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244477 (or 244469 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 164275104 is about 12816.9849808760. The cubic root of 164275104 is about 547.6762610903.

The spelling of 164275104 in words is "one hundred sixty-four million, two hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 244457 488914 733371 977828 1466742 1711199 1955656 2933484 3422398 3911312 5133597 5866968 6844796 7822624 10267194 11733936 13689592 20534388 23467872 27379184 41068776 54758368 82137552 164275104