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13269648 = 243773541
BaseRepresentation
bin110010100111…
…101010010000
3220222011112110
4302213222100
511344112043
61152225320
7220535010
oct62475220
926864473
1013269648
117543757
12453b240
132997b82
141a95c40
151271b33
hexca7a90

13269648 has 80 divisors (see below), whose sum is σ = 39787136. Its totient is φ = 3732480.

The previous prime is 13269637. The next prime is 13269661. The reversal of 13269648 is 84696231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24258 + ... + 24798.

Almost surely, 213269648 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 13269648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19893568).

13269648 is an abundant number, since it is smaller than the sum of its proper divisors (26517488).

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

13269648 is a wasteful number, since it uses less digits than its factorization.

13269648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 13269648 is about 3642.7528052285. The cubic root of 13269648 is about 236.7480810511.

The spelling of 13269648 in words is "thirteen million, two hundred sixty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 541 584 876 1022 1082 1168 1533 1623 1752 2044 2164 3066 3246 3504 3787 4088 4328 6132 6492 7574 8176 8656 11361 12264 12984 15148 22722 24528 25968 30296 39493 45444 60592 78986 90888 118479 157972 181776 236958 276451 315944 473916 552902 631888 829353 947832 1105804 1658706 1895664 2211608 3317412 4423216 6634824 13269648