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13678912 = 261341401
BaseRepresentation
bin110100001011…
…100101000000
3221201221221101
4310023211000
512000211122
61205104144
7224161132
oct64134500
927657841
1013678912
1177a3195
1246b8054
132aac240
141b61052
151303027
hexd0b940

13678912 has 56 divisors (see below), whose sum is σ = 30019752. Its totient is φ = 6144000.

The previous prime is 13678909. The next prime is 13678933. The reversal of 13678912 is 21987631.

It can be written as a sum of positive squares in 4 ways, for example, as 891136 + 12787776 = 944^2 + 3576^2 .

It is a super-2 number, since 2×136789122 = 374225267007488, which contains 22 as substring.

It is a congruent number.

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, 33912 + ... + 34312.

It is an arithmetic number, because the mean of its divisors is an integer number (536067).

Almost surely, 213678912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15009876).

13678912 is an abundant number, since it is smaller than the sum of its proper divisors (16340840).

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

13678912 is a wasteful number, since it uses less digits than its factorization.

13678912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 13678912 is about 3698.5013181017. The cubic root of 13678912 is about 239.1574157143.

The spelling of 13678912 in words is "thirteen million, six hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 164 208 328 401 416 533 656 802 832 1066 1312 1604 2132 2624 3208 4264 5213 6416 8528 10426 12832 16441 17056 20852 25664 32882 34112 41704 65764 83408 131528 166816 213733 263056 333632 427466 526112 854932 1052224 1709864 3419728 6839456 13678912