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164386120 = 2354109653
BaseRepresentation
bin10011100110001…
…01010101001000
3102110022200100211
421303011111020
5314040323440
624151210504
74034154553
oct1163052510
9373280324
10164386120
11848787a8
1247076a34
1328097cc2
1417b9169a
15e671eea
hex9cc5548

164386120 has 16 divisors (see below), whose sum is σ = 369868860. Its totient is φ = 65754432.

The previous prime is 164386111. The next prime is 164386127. The reversal of 164386120 is 21683461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 160630276 + 3755844 = 12674^2 + 1938^2 .

It is not an unprimeable number, because it can be changed into a prime (164386127) 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, 2054787 + ... + 2054866.

Almost surely, 2164386120 is an apocalyptic number.

164386120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164386120 is an abundant number, since it is smaller than the sum of its proper divisors (205482740).

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

164386120 is a wasteful number, since it uses less digits than its factorization.

164386120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109664 (or 4109660 counting only the distinct ones).

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

The square root of 164386120 is about 12821.3150651561. The cubic root of 164386120 is about 547.7996052758.

The spelling of 164386120 in words is "one hundred sixty-four million, three hundred eighty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 4109653 8219306 16438612 20548265 32877224 41096530 82193060 164386120