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13368576 = 283132103
BaseRepresentation
bin110010111111…
…110100000000
3221011012020110
4302333310000
511410243301
61154311320
7221426304
oct62776400
927135213
1013368576
117601011
124588540
132a00c00
141abdd04
1512910d6
hexcbfd00

13368576 has 108 divisors (see below), whose sum is σ = 38901408. Its totient is φ = 4073472.

The previous prime is 13368569. The next prime is 13368587. The reversal of 13368576 is 67586331.

13368576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129741 + ... + 129843.

Almost surely, 213368576 is an apocalyptic number.

13368576 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 13368576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19450704).

13368576 is an abundant number, since it is smaller than the sum of its proper divisors (25532832).

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

13368576 is a wasteful number, since it uses less digits than its factorization.

13368576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 13368576 is about 3656.3063328994. The cubic root of 13368576 is about 237.3349605017.

The spelling of 13368576 in words is "thirteen million, three hundred sixty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 103 104 128 156 169 192 206 208 256 309 312 338 384 412 416 507 618 624 676 768 824 832 1014 1236 1248 1339 1352 1648 1664 2028 2472 2496 2678 2704 3296 3328 4017 4056 4944 4992 5356 5408 6592 8034 8112 9888 9984 10712 10816 13184 16068 16224 17407 19776 21424 21632 26368 32136 32448 34814 39552 42848 43264 52221 64272 64896 69628 79104 85696 104442 128544 129792 139256 171392 208884 257088 278512 342784 417768 514176 557024 835536 1028352 1114048 1671072 2228096 3342144 4456192 6684288 13368576