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13870656 = 263323349
BaseRepresentation
bin110100111010…
…011001000000
3222002200222000
4310322121000
512022330111
61213144000
7225620142
oct64723100
928080860
1013870656
117914258
12478b000
132b485b7
141bb0c92
15133ec56
hexd3a640

13870656 has 112 divisors (see below), whose sum is σ = 42672000. Its totient is φ = 4409856.

The previous prime is 13870651. The next prime is 13870663. The reversal of 13870656 is 65607831.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 13870656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13870651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39570 + ... + 39918.

It is an arithmetic number, because the mean of its divisors is an integer number (381000).

Almost surely, 213870656 is an apocalyptic number.

13870656 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 13870656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21336000).

13870656 is an abundant number, since it is smaller than the sum of its proper divisors (28801344).

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

13870656 is a wasteful number, since it uses less digits than its factorization.

13870656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 13870656 is about 3724.3329604105. The cubic root of 13870656 is about 240.2696968183.

The spelling of 13870656 in words is "thirteen million, eight hundred seventy thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 138 144 184 192 207 216 276 288 349 368 414 432 552 576 621 698 736 828 864 1047 1104 1242 1396 1472 1656 1728 2094 2208 2484 2792 3141 3312 4188 4416 4968 5584 6282 6624 8027 8376 9423 9936 11168 12564 13248 16054 16752 18846 19872 22336 24081 25128 32108 33504 37692 39744 48162 50256 64216 67008 72243 75384 96324 100512 128432 144486 150768 192648 201024 216729 256864 288972 301536 385296 433458 513728 577944 603072 770592 866916 1155888 1541184 1733832 2311776 3467664 4623552 6935328 13870656