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13939776 = 26342689
BaseRepresentation
bin110101001011…
…010001000000
3222020012210000
4311023101000
512032033101
61214440000
7226325514
oct65132100
928205700
1013939776
117961184
124803000
132b70bb6
141bcc144
151355486
hexd4b440

13939776 has 70 divisors (see below), whose sum is σ = 41337230. Its totient is φ = 4644864.

The previous prime is 13939769. The next prime is 13939831. The reversal of 13939776 is 67793931.

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 5645376 = 2880^2 + 2376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3840 + ... + 6528.

Almost surely, 213939776 is an apocalyptic number.

13939776 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 13939776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20668615).

13939776 is an abundant number, since it is smaller than the sum of its proper divisors (27397454).

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

13939776 is an equidigital number, since it uses as much as digits as its factorization.

13939776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2694 counting only the distinct ones).

The product of its digits is 214326, while the sum is 45.

The square root of 13939776 is about 3733.6009427897. The cubic root of 13939776 is about 240.6681382377.

The spelling of 13939776 in words is "thirteen million, nine hundred thirty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 2689 5184 5378 8067 10756 16134 21512 24201 32268 43024 48402 64536 72603 86048 96804 129072 145206 172096 193608 217809 258144 290412 387216 435618 516288 580824 774432 871236 1161648 1548864 1742472 2323296 3484944 4646592 6969888 13939776