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13879404 = 22337111669
BaseRepresentation
bin110100111100…
…100001101100
3222010010222000
4310330201230
512023120104
61213252300
7225654510
oct64744154
928103860
1013879404
11791a890
124794090
132b4c586
141bb4140
151342639
hexd3c86c

13879404 has 96 divisors (see below), whose sum is σ = 44889600. Its totient is φ = 3602880.

The previous prime is 13879387. The next prime is 13879409. The reversal of 13879404 is 40497831.

It is a happy number.

13879404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (13879409) 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, 7482 + ... + 9150.

It is an arithmetic number, because the mean of its divisors is an integer number (467600).

Almost surely, 213879404 is an apocalyptic number.

13879404 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 13879404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22444800).

13879404 is an abundant number, since it is smaller than the sum of its proper divisors (31010196).

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

13879404 is a wasteful number, since it uses less digits than its factorization.

13879404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1692 counting only the distinct ones).

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

The square root of 13879404 is about 3725.5072137898. The cubic root of 13879404 is about 240.3201976162.

The spelling of 13879404 in words is "thirteen million, eight hundred seventy-nine thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 1669 2079 2772 3338 4158 5007 6676 8316 10014 11683 15021 18359 20028 23366 30042 35049 36718 45063 46732 55077 60084 70098 73436 90126 105147 110154 128513 140196 165231 180252 210294 220308 257026 315441 330462 385539 420588 495693 514052 630882 660924 771078 991386 1156617 1261764 1542156 1982772 2313234 3469851 4626468 6939702 13879404