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13428402 = 23132171941
BaseRepresentation
bin110011001110…
…011010110010
3221021020022020
4303032122302
511414202102
61155452310
7222065601
oct63163262
927236266
1013428402
117641a59
1245b7096
132a22200
141ad7a38
1512a3bbc
hexcce6b2

13428402 has 96 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 3594240.

The previous prime is 13428379. The next prime is 13428403. The reversal of 13428402 is 20482431.

It is not an unprimeable number, because it can be changed into a prime (13428403) 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 47 ways as a sum of consecutive naturals, for example, 327502 + ... + 327542.

It is an arithmetic number, because the mean of its divisors is an integer number (345870).

Almost surely, 213428402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13428402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

13428402 is an abundant number, since it is smaller than the sum of its proper divisors (19775118).

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

13428402 is a wasteful number, since it uses less digits than its factorization.

13428402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 13428402 is about 3664.4784076318. The cubic root of 13428402 is about 237.6884679457.

The spelling of 13428402 in words is "thirteen million, four hundred twenty-eight thousand, four hundred two".

Divisors: 1 2 3 6 13 17 19 26 34 38 39 41 51 57 78 82 102 114 123 169 221 246 247 323 338 442 494 507 533 646 663 697 741 779 969 1014 1066 1326 1394 1482 1558 1599 1938 2091 2337 2873 3198 3211 4182 4199 4674 5746 6422 6929 8398 8619 9061 9633 10127 12597 13243 13858 17238 18122 19266 20254 20787 25194 26486 27183 30381 39729 41574 54366 54587 60762 79458 109174 117793 131651 163761 172159 235586 263302 327522 344318 353379 394953 516477 706758 789906 1032954 2238067 4476134 6714201 13428402