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164671400 = 2352823357
BaseRepresentation
bin10011101000010…
…10111110101000
3102110212011200202
421310022332220
5314123441100
624201251332
74036453355
oct1164127650
9373764622
10164671400
1184a53073
1247193b48
1328167aca
1417c2762c
15e6cb7d5
hex9d0afa8

164671400 has 24 divisors (see below), whose sum is σ = 382861470. Its totient is φ = 65868480.

The previous prime is 164671387. The next prime is 164671433. The reversal of 164671400 is 4176461.

164671400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 62378404 + 102292996 = 7898^2 + 10114^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 411479 + ... + 411878.

Almost surely, 2164671400 is an apocalyptic number.

164671400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164671400 is an abundant number, since it is smaller than the sum of its proper divisors (218190070).

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

164671400 is a wasteful number, since it uses less digits than its factorization.

164671400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823373 (or 823364 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 164671400 is about 12832.4354664265. The cubic root of 164671400 is about 548.1163107585.

The spelling of 164671400 in words is "one hundred sixty-four million, six hundred seventy-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 823357 1646714 3293428 4116785 6586856 8233570 16467140 20583925 32934280 41167850 82335700 164671400