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13878816 = 2537191087
BaseRepresentation
bin110100111100…
…011000100000
3222010010011020
4310330120200
512023110231
61213245440
7225653010
oct64743040
928103136
1013878816
11791a3a6
124793880
132b4c223
141bb3c40
151342396
hexd3c620

13878816 has 96 divisors (see below), whose sum is σ = 43868160. Its totient is φ = 3753216.

The previous prime is 13878803. The next prime is 13878841. The reversal of 13878816 is 61887831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12225 + ... + 13311.

It is an arithmetic number, because the mean of its divisors is an integer number (456960).

Almost surely, 213878816 is an apocalyptic number.

13878816 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 13878816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934080).

13878816 is an abundant number, since it is smaller than the sum of its proper divisors (29989344).

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

13878816 is a wasteful number, since it uses less digits than its factorization.

13878816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1118 counting only the distinct ones).

The product of its digits is 64512, while the sum is 42.

The square root of 13878816 is about 3725.4282975250. The cubic root of 13878816 is about 240.3168038520.

The spelling of 13878816 in words is "thirteen million, eight hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1087 1596 1824 2128 2174 3192 3261 4256 4348 6384 6522 7609 8696 12768 13044 15218 17392 20653 22827 26088 30436 34784 41306 45654 52176 60872 61959 82612 91308 104352 121744 123918 144571 165224 182616 243488 247836 289142 330448 365232 433713 495672 578284 660896 730464 867426 991344 1156568 1734852 1982688 2313136 3469704 4626272 6939408 13878816