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13040952 = 2332941457
BaseRepresentation
bin110001101111…
…110100111000
3220112112211020
4301233310320
511314302302
61143302440
7215563161
oct61576470
926475736
1013040952
1173a7951
12444aa20
132917a52
141a36768
151228ebc
hexc6fd38

13040952 has 64 divisors (see below), whose sum is σ = 34624800. Its totient is φ = 4085760.

The previous prime is 13040917. The next prime is 13040957. The reversal of 13040952 is 25904031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040957) 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, 28308 + ... + 28764.

Almost surely, 213040952 is an apocalyptic number.

13040952 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 13040952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17312400).

13040952 is an abundant number, since it is smaller than the sum of its proper divisors (21583848).

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

13040952 is a wasteful number, since it uses less digits than its factorization.

13040952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 13040952 is about 3611.2258306564. The cubic root of 13040952 is about 235.3801121652.

Adding to 13040952 its reverse (25904031), we get a palindrome (38944983).

The spelling of 13040952 in words is "thirteen million, forty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 41 58 82 87 116 123 164 174 232 246 328 348 457 492 696 914 984 1189 1371 1828 2378 2742 3567 3656 4756 5484 7134 9512 10968 13253 14268 18737 26506 28536 37474 39759 53012 56211 74948 79518 106024 112422 149896 159036 224844 318072 449688 543373 1086746 1630119 2173492 3260238 4346984 6520476 13040952