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164675840 = 285718379
BaseRepresentation
bin10011101000011…
…00000100000000
3102110212101210012
421310030010000
5314124111330
624201324052
74036502330
oct1164140400
9373771705
10164675840
1184a5643a
1247196628
1328169b34
1417c290c0
15e6ccc95
hex9d0c100

164675840 has 72 divisors (see below), whose sum is σ = 450824640. Its totient is φ = 56457216.

The previous prime is 164675801. The next prime is 164675851. The reversal of 164675840 is 48576461.

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, 230 + ... + 18149.

Almost surely, 2164675840 is an apocalyptic number.

164675840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225412320).

164675840 is an abundant number, since it is smaller than the sum of its proper divisors (286148800).

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

164675840 is an equidigital number, since it uses as much as digits as its factorization.

164675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18407 (or 18393 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 164675840 is about 12832.6084643770. The cubic root of 164675840 is about 548.1212369622.

The spelling of 164675840 in words is "one hundred sixty-four million, six hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 18379 36758 73516 91895 128653 147032 183790 257306 294064 367580 514612 588128 643265 735160 1029224 1176256 1286530 1470320 2058448 2352512 2573060 2940640 4116896 4705024 5146120 5881280 8233792 10292240 11762560 16467584 20584480 23525120 32935168 41168960 82337920 164675840