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13040664 = 2337213853
BaseRepresentation
bin110001101111…
…110000011000
3220112112102120
4301233300120
511314300124
61143301240
7215562300
oct61576030
926475376
1013040664
1173a770a
12444a820
132917890
141a36600
151228d79
hexc6fc18

13040664 has 96 divisors (see below), whose sum is σ = 40889520. Its totient is φ = 3435264.

The previous prime is 13040659. The next prime is 13040689. The reversal of 13040664 is 46604031.

13040664 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14862 + ... + 15714.

Almost surely, 213040664 is an apocalyptic number.

13040664 is a gapful number since it is divisible by the number (14) 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 13040664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444760).

13040664 is an abundant number, since it is smaller than the sum of its proper divisors (27848856).

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

13040664 is a wasteful number, since it uses less digits than its factorization.

13040664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 13040664 is about 3611.1859547800. The cubic root of 13040664 is about 235.3783794192.

Adding to 13040664 its reverse (46604031), we get a palindrome (59644695).

The spelling of 13040664 in words is "thirteen million, forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 364 392 546 588 637 728 853 1092 1176 1274 1706 1911 2184 2548 2559 3412 3822 5096 5118 5971 6824 7644 10236 11089 11942 15288 17913 20472 22178 23884 33267 35826 41797 44356 47768 66534 71652 77623 83594 88712 125391 133068 143304 155246 167188 232869 250782 266136 310492 334376 465738 501564 543361 620984 931476 1003128 1086722 1630083 1862952 2173444 3260166 4346888 6520332 13040664