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13268232 = 2333195361
BaseRepresentation
bin110010100111…
…010100001000
3220222002121000
4302213110020
511344040412
61152215000
7220530615
oct62472410
926862530
1013268232
11754268a
12453a460
132997333
141a9550c
1512714dc
hexca7508

13268232 has 128 divisors (see below), whose sum is σ = 40176000. Its totient is φ = 4043520.

The previous prime is 13268231. The next prime is 13268249. The reversal of 13268232 is 23286231.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 13268196 and 13268205.

It is not an unprimeable number, because it can be changed into a prime (13268231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217482 + ... + 217542.

It is an arithmetic number, because the mean of its divisors is an integer number (313875).

Almost surely, 213268232 is an apocalyptic number.

13268232 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 13268232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20088000).

13268232 is an abundant number, since it is smaller than the sum of its proper divisors (26907768).

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

13268232 is a wasteful number, since it uses less digits than its factorization.

13268232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 138 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 13268232 is about 3642.5584415353. The cubic root of 13268232 is about 236.7396596469.

The spelling of 13268232 in words is "thirteen million, two hundred sixty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 53 54 57 61 72 76 106 108 114 122 152 159 171 183 212 216 228 244 318 342 366 424 456 477 488 513 549 636 684 732 954 1007 1026 1098 1159 1272 1368 1431 1464 1647 1908 2014 2052 2196 2318 2862 3021 3233 3294 3477 3816 4028 4104 4392 4636 5724 6042 6466 6588 6954 8056 9063 9272 9699 10431 11448 12084 12932 13176 13908 18126 19398 20862 24168 25864 27189 27816 29097 31293 36252 38796 41724 54378 58194 61427 62586 72504 77592 83448 87291 108756 116388 122854 125172 174582 184281 217512 232776 245708 250344 349164 368562 491416 552843 698328 737124 1105686 1474248 1658529 2211372 3317058 4422744 6634116 13268232