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13264992 = 2533131181
BaseRepresentation
bin110010100110…
…100001100000
3220221221011000
4302212201200
511343434432
61152152000
7220515306
oct62464140
926857130
1013264992
117540204
124538600
132995a10
141a94276
15127057c
hexca6860

13264992 has 96 divisors (see below), whose sum is σ = 41700960. Its totient is φ = 4078080.

The previous prime is 13264963. The next prime is 13265009. The reversal of 13264992 is 29946231.

13264992 is a `hidden beast` number, since 1 + 3 + 2 + 649 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10642 + ... + 11822.

It is an arithmetic number, because the mean of its divisors is an integer number (434385).

Almost surely, 213264992 is an apocalyptic number.

13264992 is a gapful number since it is divisible by the number (12) 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 13264992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20850480).

13264992 is an abundant number, since it is smaller than the sum of its proper divisors (28435968).

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

13264992 is a wasteful number, since it uses less digits than its factorization.

13264992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1199 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 13264992 is about 3642.1136720317. The cubic root of 13264992 is about 236.7203880781.

The spelling of 13264992 in words is "thirteen million, two hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1181 1248 1404 1872 2362 2808 3543 3744 4724 5616 7086 9448 10629 11232 14172 15353 18896 21258 28344 30706 31887 37792 42516 46059 56688 61412 63774 85032 92118 113376 122824 127548 138177 170064 184236 245648 255096 276354 340128 368472 414531 491296 510192 552708 736944 829062 1020384 1105416 1473888 1658124 2210832 3316248 4421664 6632496 13264992