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13233696 = 253747419
BaseRepresentation
bin110010011110…
…111000100000
3220220100012220
4302132320200
511341434241
61151351040
7220325130
oct62367040
926810186
1013233696
117519743
124522480
1329846b8
141a86ac0
151266166
hexc9ee20

13233696 has 96 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 3691776.

The previous prime is 13233691. The next prime is 13233713. The reversal of 13233696 is 69633231.

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

Its product of digits (17496) is a multiple of the sum of its prime factors (486).

It is not an unprimeable number, because it can be changed into a prime (13233691) by changing a digit.

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, 31375 + ... + 31793.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 213233696 is an apocalyptic number.

13233696 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 13233696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

13233696 is an abundant number, since it is smaller than the sum of its proper divisors (27408864).

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

13233696 is a wasteful number, since it uses less digits than its factorization.

13233696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its digits is 17496, while the sum is 33.

The square root of 13233696 is about 3637.8147286524. The cubic root of 13233696 is about 236.5340772455.

The spelling of 13233696 in words is "thirteen million, two hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 419 564 658 672 752 838 987 1128 1257 1316 1504 1676 1974 2256 2514 2632 2933 3352 3948 4512 5028 5264 5866 6704 7896 8799 10056 10528 11732 13408 15792 17598 19693 20112 23464 31584 35196 39386 40224 46928 59079 70392 78772 93856 118158 137851 140784 157544 236316 275702 281568 315088 413553 472632 551404 630176 827106 945264 1102808 1654212 1890528 2205616 3308424 4411232 6616848 13233696