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14631672 = 23311192917
BaseRepresentation
bin110111110100…
…001011111000
31000112100212210
4313310023320
512221203142
61241335120
7235236636
oct67641370
930470783
1014631672
118293aa0
124a974a0
133053ac3
141d2c356
15144049c
hexdf42f8

14631672 has 64 divisors (see below), whose sum is σ = 42019200. Its totient is φ = 4199040.

The previous prime is 14631649. The next prime is 14631707. The reversal of 14631672 is 27613641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3558 + ... + 6474.

It is an arithmetic number, because the mean of its divisors is an integer number (656550).

Almost surely, 214631672 is an apocalyptic number.

14631672 is a gapful number since it is divisible by the number (12) 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 14631672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21009600).

14631672 is an abundant number, since it is smaller than the sum of its proper divisors (27387528).

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

14631672 is a wasteful number, since it uses less digits than its factorization.

14631672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2952 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 14631672 is about 3825.1368602966. The cubic root of 14631672 is about 244.5858447897.

The spelling of 14631672 in words is "fourteen million, six hundred thirty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 2917 5016 5834 8751 11668 17502 23336 32087 35004 55423 64174 70008 96261 110846 128348 166269 192522 221692 256696 332538 385044 443384 609653 665076 770088 1219306 1330152 1828959 2438612 3657918 4877224 7315836 14631672