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13190904 = 2333173353
BaseRepresentation
bin110010010100…
…011011111000
3220211011112000
4302110123320
511334102104
61150421000
7220056306
oct62243370
926734460
1013190904
11749a581
124501760
13296b08c
141a75276
151258639
hexc946f8

13190904 has 64 divisors (see below), whose sum is σ = 36957600. Its totient is φ = 4359168.

The previous prime is 13190899. The next prime is 13190909. The reversal of 13190904 is 40909131.

13190904 is digitally balanced in base 2 and base 4, because in such bases 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 (13190899) and next prime (13190909).

It is a hoax number, since the sum of its digits (27) 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13190909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37192 + ... + 37544.

Almost surely, 213190904 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 13190904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18478800).

13190904 is an abundant number, since it is smaller than the sum of its proper divisors (23766696).

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

13190904 is a wasteful number, since it uses less digits than its factorization.

13190904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 13190904 is about 3631.9284133914. The cubic root of 13190904 is about 236.2788526112.

The spelling of 13190904 in words is "thirteen million, one hundred ninety thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 173 216 346 353 519 692 706 1038 1059 1384 1412 1557 2076 2118 2824 3114 3177 4152 4236 4671 6228 6354 8472 9342 9531 12456 12708 18684 19062 25416 37368 38124 61069 76248 122138 183207 244276 366414 488552 549621 732828 1099242 1465656 1648863 2198484 3297726 4396968 6595452 13190904