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13974828 = 2237435373
BaseRepresentation
bin110101010011…
…110100101100
3222021222212020
4311103310230
512034143303
61215310140
7226532640
oct65236454
928258766
1013974828
11798554a
12481b350
132b83b3a
141bdac20
151360a53
hexd53d2c

13974828 has 96 divisors (see below), whose sum is σ = 39384576. Its totient is φ = 3773952.

The previous prime is 13974827. The next prime is 13974911. The reversal of 13974828 is 82847931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 13974828.

It is not an unprimeable number, because it can be changed into a prime (13974827) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 191400 + ... + 191472.

It is an arithmetic number, because the mean of its divisors is an integer number (410256).

Almost surely, 213974828 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 13974828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19692288).

13974828 is an abundant number, since it is smaller than the sum of its proper divisors (25409748).

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

13974828 is a wasteful number, since it uses less digits than its factorization.

13974828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 13974828 is about 3738.2921234168. The cubic root of 13974828 is about 240.8696918988.

The spelling of 13974828 in words is "thirteen million, nine hundred seventy-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 53 73 84 86 106 129 146 159 172 212 219 258 292 301 318 371 438 511 516 602 636 742 876 903 1022 1113 1204 1484 1533 1806 2044 2226 2279 3066 3139 3612 3869 4452 4558 6132 6278 6837 7738 9116 9417 11607 12556 13674 15476 15953 18834 21973 23214 27083 27348 31906 37668 43946 46428 47859 54166 63812 65919 81249 87892 95718 108332 131838 162498 166367 191436 263676 324996 332734 499101 665468 998202 1164569 1996404 2329138 3493707 4658276 6987414 13974828