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164770416 = 2433381413
BaseRepresentation
bin10011101001000…
…11001001110000
3102111001012112000
421310203021300
5314140123131
624203334000
74040345136
oct1164431160
9374035460
10164770416
11850104a8
1247221300
13281a0bb5
1417c51756
15e6eace6
hex9d23270

164770416 has 40 divisors (see below), whose sum is σ = 472953360. Its totient is φ = 54923328.

The previous prime is 164770393. The next prime is 164770427. The reversal of 164770416 is 614077461.

164770416 is a `hidden beast` number, since 1 + 647 + 7 + 0 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190275 + ... + 191138.

It is an arithmetic number, because the mean of its divisors is an integer number (11823834).

Almost surely, 2164770416 is an apocalyptic number.

164770416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164770416 is an abundant number, since it is smaller than the sum of its proper divisors (308182944).

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

164770416 is a wasteful number, since it uses less digits than its factorization.

164770416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381430 (or 381418 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 164770416 is about 12836.2929228029. The cubic root of 164770416 is about 548.2261485129.

The spelling of 164770416 in words is "one hundred sixty-four million, seven hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 381413 762826 1144239 1525652 2288478 3051304 3432717 4576956 6102608 6865434 9153912 10298151 13730868 18307824 20596302 27461736 41192604 54923472 82385208 164770416