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164125460 = 22541200153
BaseRepresentation
bin10011100100001…
…01101100010100
3102102211102210202
421302011230110
5314004003320
624141440032
74032020612
oct1162055424
9372742722
10164125460
118470a984
1246b70018
1328006475
1417b246b2
15e61eb75
hex9c85b14

164125460 has 24 divisors (see below), whose sum is σ = 353071656. Its totient is φ = 64048640.

The previous prime is 164125427. The next prime is 164125469. The reversal of 164125460 is 64521461.

It can be written as a sum of positive squares in 4 ways, for example, as 234256 + 163891204 = 484^2 + 12802^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164125469) 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, 99257 + ... + 100896.

It is an arithmetic number, because the mean of its divisors is an integer number (14711319).

Almost surely, 2164125460 is an apocalyptic number.

164125460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164125460 is an abundant number, since it is smaller than the sum of its proper divisors (188946196).

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

164125460 is a wasteful number, since it uses less digits than its factorization.

164125460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200203 (or 200201 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 164125460 is about 12811.1459284484. The cubic root of 164125460 is about 547.5099113459.

The spelling of 164125460 in words is "one hundred sixty-four million, one hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 200153 400306 800612 1000765 2001530 4003060 8206273 16412546 32825092 41031365 82062730 164125460