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13936104 = 2333713709
BaseRepresentation
bin110101001010…
…010111101000
3222020000202000
4311022113220
512031423404
61214411000
7226312020
oct65122750
928200660
1013936104
117959446
124800a60
132b6c320
141bcaa80
151354339
hexd4a5e8

13936104 has 128 divisors (see below), whose sum is σ = 47712000. Its totient is φ = 3670272.

The previous prime is 13936103. The next prime is 13936123. The reversal of 13936104 is 40163931.

13936104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13936103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19302 + ... + 20010.

It is an arithmetic number, because the mean of its divisors is an integer number (372750).

Almost surely, 213936104 is an apocalyptic number.

13936104 is a gapful number since it is divisible by the number (14) 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 13936104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23856000).

13936104 is an abundant number, since it is smaller than the sum of its proper divisors (33775896).

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

13936104 is a wasteful number, since it uses less digits than its factorization.

13936104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13936104 is about 3733.1091599363. The cubic root of 13936104 is about 240.6470042058.

The spelling of 13936104 in words is "thirteen million, nine hundred thirty-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 709 728 756 819 936 1092 1404 1418 1512 1638 2127 2184 2457 2808 2836 3276 4254 4914 4963 5672 6381 6552 8508 9217 9828 9926 12762 14889 17016 18434 19143 19656 19852 25524 27651 29778 36868 38286 39704 44667 51048 55302 59556 64519 73736 76572 82953 89334 110604 119112 129038 134001 153144 165906 178668 193557 221208 248859 258076 268002 331812 357336 387114 497718 516152 536004 580671 663624 774228 995436 1072008 1161342 1548456 1742013 1990872 2322684 3484026 4645368 6968052 13936104