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13919724 = 22327213607
BaseRepresentation
bin110101000110…
…010111101100
3222012012021100
4311012113230
512030412344
61214203100
7226213200
oct65062754
928165240
1013919724
117948105
1247b3490
132b64a30
141bc4b00
15134e569
hexd465ec

13919724 has 108 divisors (see below), whose sum is σ = 44151744. Its totient is φ = 3665088.

The previous prime is 13919701. The next prime is 13919743. The reversal of 13919724 is 42791931.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22629 + ... + 23235.

Almost surely, 213919724 is an apocalyptic number.

13919724 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 13919724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22075872).

13919724 is an abundant number, since it is smaller than the sum of its proper divisors (30232020).

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

13919724 is a wasteful number, since it uses less digits than its factorization.

13919724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 13919724 is about 3730.9146331697. The cubic root of 13919724 is about 240.5526846052.

The spelling of 13919724 in words is "thirteen million, nine hundred nineteen thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 607 637 819 882 1092 1214 1274 1638 1764 1821 1911 2428 2548 3276 3642 3822 4249 5463 5733 7284 7644 7891 8498 10926 11466 12747 15782 16996 21852 22932 23673 25494 29743 31564 38241 47346 50988 55237 59486 71019 76482 89229 94692 110474 118972 142038 152964 165711 178458 220948 267687 284076 331422 356916 386659 497133 535374 662844 773318 994266 1070748 1159977 1546636 1988532 2319954 3479931 4639908 6959862 13919724