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13878936 = 23321722329
BaseRepresentation
bin110100111100…
…011010011000
3222010010022200
4310330122120
512023111221
61213250200
7225653241
oct64743230
928103280
1013878936
11791a4a5
124793960
132b4c2b6
141bb3cc8
151342426
hexd3c698

13878936 has 144 divisors (see below), whose sum is σ = 43102800. Its totient is φ = 4021248.

The previous prime is 13878929. The next prime is 13878937. The reversal of 13878936 is 63987831.

It is a happy number.

13878936 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13878891 and 13878900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13878937) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 478570 + ... + 478598.

It is an arithmetic number, because the mean of its divisors is an integer number (299325).

Almost surely, 213878936 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 13878936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21551400).

13878936 is an abundant number, since it is smaller than the sum of its proper divisors (29223864).

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

13878936 is a wasteful number, since it uses less digits than its factorization.

13878936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 74 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 13878936 is about 3725.4444030209. Note that the first 4 decimals coincide. The cubic root of 13878936 is about 240.3174964648.

The spelling of 13878936 in words is "thirteen million, eight hundred seventy-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 29 34 36 46 51 58 68 69 72 87 92 102 116 136 138 153 174 184 204 207 232 261 276 289 306 348 391 408 414 493 522 552 578 612 667 696 782 828 867 986 1044 1156 1173 1224 1334 1479 1564 1656 1734 1972 2001 2088 2312 2346 2601 2668 2958 3128 3468 3519 3944 4002 4437 4692 5202 5336 5916 6003 6647 6936 7038 8004 8381 8874 9384 10404 11339 11832 12006 13294 14076 16008 16762 17748 19941 20808 22678 24012 25143 26588 28152 33524 34017 35496 39882 45356 48024 50286 53176 59823 67048 68034 75429 79764 90712 100572 102051 119646 136068 150858 159528 192763 201144 204102 239292 272136 301716 385526 408204 478584 578289 603432 771052 816408 1156578 1542104 1734867 2313156 3469734 4626312 6939468 13878936