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13328406 = 23271379103
BaseRepresentation
bin110010110110…
…000000010110
3221002011010200
4302312000112
511403002111
61153401330
7221201220
oct62660026
927064120
1013328406
117583913
124569246
1329b8840
141aad410
151284256
hexcb6016

13328406 has 96 divisors (see below), whose sum is σ = 36341760. Its totient is φ = 3436992.

The previous prime is 13328353. The next prime is 13328417. The reversal of 13328406 is 60482331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13328406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129351 + ... + 129453.

It is an arithmetic number, because the mean of its divisors is an integer number (378560).

It is a vampire number, since it can be written as 30814326 (with its own digits).

Almost surely, 213328406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13328406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170880).

13328406 is an abundant number, since it is smaller than the sum of its proper divisors (23013354).

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

13328406 is a wasteful number, since it uses less digits than its factorization.

13328406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13328406 is about 3650.8089514517. The cubic root of 13328406 is about 237.0970067022.

The spelling of 13328406 in words is "thirteen million, three hundred twenty-eight thousand, four hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 79 91 103 117 126 158 182 206 234 237 273 309 474 546 553 618 711 721 819 927 1027 1106 1339 1422 1442 1638 1659 1854 2054 2163 2678 3081 3318 4017 4326 4977 6162 6489 7189 8034 8137 9243 9373 9954 12051 12978 14378 16274 18486 18746 21567 24102 24411 28119 43134 48822 56238 56959 64701 73233 84357 105781 113918 129402 146466 168714 170877 211562 317343 341754 512631 634686 740467 952029 1025262 1480934 1904058 2221401 4442802 6664203 13328406