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13940784 = 24321113677
BaseRepresentation
bin110101001011…
…100000110000
3222020021011100
4311023200300
512032101114
61214444400
7226331454
oct65134060
928207140
1013940784
117961a10
124803700
132b714b0
141bcc664
151355909
hexd4b830

13940784 has 120 divisors (see below), whose sum is σ = 45903312. Its totient is φ = 3893760.

The previous prime is 13940777. The next prime is 13940789. The reversal of 13940784 is 48704931.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13940789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20254 + ... + 20930.

Almost surely, 213940784 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 13940784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22951656).

13940784 is an abundant number, since it is smaller than the sum of its proper divisors (31962528).

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

13940784 is a wasteful number, since it uses less digits than its factorization.

13940784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13940784 is about 3733.7359306732. The cubic root of 13940784 is about 240.6739390874.

The spelling of 13940784 in words is "thirteen million, nine hundred forty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 677 792 858 936 1144 1287 1354 1584 1716 1872 2031 2288 2574 2708 3432 4062 5148 5416 6093 6864 7447 8124 8801 10296 10832 12186 14894 16248 17602 20592 22341 24372 26403 29788 32496 35204 44682 48744 52806 59576 67023 70408 79209 89364 96811 97488 105612 119152 134046 140816 158418 178728 193622 211224 268092 290433 316836 357456 387244 422448 536184 580866 633672 774488 871299 1072368 1161732 1267344 1548976 1742598 2323464 3485196 4646928 6970392 13940784