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13287904 = 257137433
BaseRepresentation
bin110010101100…
…000111100000
3221000002120121
4302230013200
511400203104
61152450024
7220642150
oct62540740
927002517
1013287904
117556443
124549914
1329a3286
141a9c760
151277254
hexcac1e0

13287904 has 48 divisors (see below), whose sum is σ = 30185568. Its totient is φ = 5640192.

The previous prime is 13287893. The next prime is 13287913. The reversal of 13287904 is 40978231.

It is a self number, because there is not a number n which added to its sum of digits gives 13287904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30472 + ... + 30904.

It is an arithmetic number, because the mean of its divisors is an integer number (628866).

Almost surely, 213287904 is an apocalyptic number.

13287904 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 13287904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15092784).

13287904 is an abundant number, since it is smaller than the sum of its proper divisors (16897664).

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

13287904 is a wasteful number, since it uses less digits than its factorization.

13287904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 13287904 is about 3645.2577412304. The cubic root of 13287904 is about 236.8566016997.

The spelling of 13287904 in words is "thirteen million, two hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 433 548 866 959 1096 1732 1918 2192 3031 3464 3836 4384 6062 6928 7672 12124 13856 15344 24248 30688 48496 59321 96992 118642 237284 415247 474568 830494 949136 1660988 1898272 3321976 6643952 13287904