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13889736 = 23327231127
BaseRepresentation
bin110100111111…
…000011001000
3222010200010200
4310333003020
512023432421
61213412200
7226026600
oct64770310
928120120
1013889736
117927623
12479a060
132b541a3
141bb7c00
151345726
hexd3f0c8

13889736 has 144 divisors (see below), whose sum is σ = 45527040. Its totient is φ = 3810240.

The previous prime is 13889717. The next prime is 13889737. The reversal of 13889736 is 63798831.

It is a happy number.

13889736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138897362 = 385849532299392, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13889691 and 13889700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13889737) 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, 109305 + ... + 109431.

It is an arithmetic number, because the mean of its divisors is an integer number (316160).

Almost surely, 213889736 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 13889736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22763520).

13889736 is an abundant number, since it is smaller than the sum of its proper divisors (31637304).

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

13889736 is a wasteful number, since it uses less digits than its factorization.

13889736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

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

The square root of 13889736 is about 3726.8936126485. The cubic root of 13889736 is about 240.3798152678.

The spelling of 13889736 in words is "thirteen million, eight hundred eighty-nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 49 56 62 63 72 84 93 98 124 126 127 147 168 186 196 217 248 252 254 279 294 372 381 392 434 441 504 508 558 588 651 744 762 868 882 889 1016 1116 1143 1176 1302 1519 1524 1736 1764 1778 1953 2232 2286 2604 2667 3038 3048 3528 3556 3906 3937 4557 4572 5208 5334 6076 6223 7112 7812 7874 8001 9114 9144 10668 11811 12152 12446 13671 15624 15748 16002 18228 18669 21336 23622 24892 27342 27559 31496 32004 35433 36456 37338 47244 49784 54684 55118 56007 64008 70866 74676 82677 94488 109368 110236 112014 141732 149352 165354 192913 220472 224028 248031 283464 330708 385826 448056 496062 578739 661416 771652 992124 1157478 1543304 1736217 1984248 2314956 3472434 4629912 6944868 13889736