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13044096 = 273213267
BaseRepresentation
bin110001110000…
…100110000000
3220112201010200
4301300212000
511314402341
61143325200
7215605302
oct61604600
926481120
1013044096
1173aa24a
124450800
132919300
141a37972
151229db6
hexc70980

13044096 has 144 divisors (see below), whose sum is σ = 41251860. Its totient is φ = 3953664.

The previous prime is 13044071. The next prime is 13044103. The reversal of 13044096 is 69044031.

13044096 is a `hidden beast` number, since 130 + 440 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194655 + ... + 194721.

Almost surely, 213044096 is an apocalyptic number.

13044096 is a gapful number since it is divisible by the number (16) 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 13044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20625930).

13044096 is an abundant number, since it is smaller than the sum of its proper divisors (28207764).

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

13044096 is a wasteful number, since it uses less digits than its factorization.

13044096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13044096 is about 3611.6611136706. The cubic root of 13044096 is about 235.3990263163.

The spelling of 13044096 in words is "thirteen million, forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 67 72 78 96 104 117 128 134 144 156 169 192 201 208 234 268 288 312 338 384 402 416 468 507 536 576 603 624 676 804 832 871 936 1014 1072 1152 1206 1248 1352 1521 1608 1664 1742 1872 2028 2144 2412 2496 2613 2704 3042 3216 3484 3744 4056 4288 4824 4992 5226 5408 6084 6432 6968 7488 7839 8112 8576 9648 10452 10816 11323 12168 12864 13936 14976 15678 16224 19296 20904 21632 22646 24336 25728 27872 31356 32448 33969 38592 41808 45292 48672 55744 62712 64896 67938 77184 83616 90584 97344 101907 111488 125424 135876 167232 181168 194688 203814 250848 271752 334464 362336 407628 501696 543504 724672 815256 1003392 1087008 1449344 1630512 2174016 3261024 4348032 6522048 13044096