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13023906 = 2372311429
BaseRepresentation
bin110001101011…
…101010100010
3220111200102220
4301223222202
511313231111
61143051510
7215462400
oct61535242
926450386
1013023906
117396065
124440b96
13291006c
141a30470
151223e06
hexc6baa2

13023906 has 48 divisors (see below), whose sum is σ = 31299840. Its totient is φ = 3598560.

The previous prime is 13023893. The next prime is 13023919. The reversal of 13023906 is 60932031.

13023906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13023893) and next prime (13023919).

13023906 is a modest number, since divided by 3906 gives 1302 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8400 + ... + 9828.

It is an arithmetic number, because the mean of its divisors is an integer number (652080).

Almost surely, 213023906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649920).

13023906 is an abundant number, since it is smaller than the sum of its proper divisors (18275934).

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

13023906 is a wasteful number, since it uses less digits than its factorization.

13023906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 13023906 is about 3608.8649185028. The cubic root of 13023906 is about 235.2775113010.

Adding to 13023906 its reverse (60932031), we get a palindrome (73955937).

The spelling of 13023906 in words is "thirteen million, twenty-three thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1429 1519 2858 3038 4287 4557 8574 9114 10003 20006 30009 44299 60018 70021 88598 132897 140042 210063 265794 310093 420126 620186 930279 1860558 2170651 4341302 6511953 13023906