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13269312 = 263371097
BaseRepresentation
bin110010100111…
…100101000000
3220222011002000
4302213211000
511344104222
61152224000
7220534020
oct62474500
926864060
1013269312
117543481
12453b000
132997984
141a95a80
1512719ac
hexca7940

13269312 has 112 divisors (see below), whose sum is σ = 44622720. Its totient is φ = 3787776.

The previous prime is 13269301. The next prime is 13269317. The reversal of 13269312 is 21396231.

It is a tau number, because it is divible by the number of its divisors (112).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13269317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11548 + ... + 12644.

Almost surely, 213269312 is an apocalyptic number.

13269312 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 13269312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311360).

13269312 is an abundant number, since it is smaller than the sum of its proper divisors (31353408).

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

13269312 is a wasteful number, since it uses less digits than its factorization.

13269312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1109 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13269312 is about 3642.7066859686. The cubic root of 13269312 is about 236.7460828060.

The spelling of 13269312 in words is "thirteen million, two hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1097 1344 1512 1728 2016 2194 3024 3291 4032 4388 6048 6582 7679 8776 9873 12096 13164 15358 17552 19746 23037 26328 29619 30716 35104 39492 46074 52656 59238 61432 69111 70208 78984 92148 105312 118476 122864 138222 157968 184296 207333 210624 236952 245728 276444 315936 368592 414666 473904 491456 552888 631872 737184 829332 947808 1105776 1474368 1658664 1895616 2211552 3317328 4423104 6634656 13269312