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13943376 = 2432372617
BaseRepresentation
bin110101001100…
…001001010000
3222020101201100
4311030021100
512032142001
61214504400
7226342146
oct65141120
928211640
1013943376
117963957
124805100
132b72725
141bcd596
151356586
hexd4c250

13943376 has 60 divisors (see below), whose sum is σ = 40092052. Its totient is φ = 4520448.

The previous prime is 13943357. The next prime is 13943387. The reversal of 13943376 is 67334931.

It can be written as a sum of positive squares in 2 ways, for example, as 13133376 + 810000 = 3624^2 + 900^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 13943376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4020 + ... + 6636.

Almost surely, 213943376 is an apocalyptic number.

13943376 is a gapful number since it is divisible by the number (16) 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 13943376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046026).

13943376 is an abundant number, since it is smaller than the sum of its proper divisors (26148676).

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

13943376 is a wasteful number, since it uses less digits than its factorization.

13943376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2659 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 13943376 is about 3734.0830199662. The cubic root of 13943376 is about 240.6888542741.

The spelling of 13943376 in words is "thirteen million, nine hundred forty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2617 2664 5234 5328 7851 10468 15702 20936 23553 31404 41872 47106 62808 94212 96829 125616 188424 193658 290487 376848 387316 580974 774632 871461 1161948 1549264 1742922 2323896 3485844 4647792 6971688 13943376