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13946112 = 28326053
BaseRepresentation
bin110101001100…
…110100000000
3222020112110200
4311030310000
512032233422
61214525200
7226353135
oct65146400
928215420
1013946112
117965a14
124806800
132b73a4b
141bd058c
1513572ac
hexd4cd00

13946112 has 54 divisors (see below), whose sum is σ = 40216722. Its totient is φ = 4647936.

The previous prime is 13946099. The next prime is 13946123. The reversal of 13946112 is 21164931.

It can be written as a sum of positive squares in only one way, i.e., 8856576 + 5089536 = 2976^2 + 2256^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 723 + ... + 5330.

Almost surely, 213946112 is an apocalyptic number.

13946112 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 13946112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108361).

13946112 is an abundant number, since it is smaller than the sum of its proper divisors (26270610).

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

13946112 is an equidigital number, since it uses as much as digits as its factorization.

13946112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6075 (or 6058 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 13946112 is about 3734.4493570003. The cubic root of 13946112 is about 240.7045960772.

The spelling of 13946112 in words is "thirteen million, nine hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 6053 12106 18159 24212 36318 48424 54477 72636 96848 108954 145272 193696 217908 290544 387392 435816 581088 774784 871632 1162176 1549568 1743264 2324352 3486528 4648704 6973056 13946112