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13041312 = 2531761131
BaseRepresentation
bin110001101111…
…111010100000
3220112120022120
4301233322200
511314310222
61143304240
7215564214
oct61577240
926476276
1013041312
1173a8149
12444b080
132917c6b
141a36944
15122915c
hexc6fea0

13041312 has 96 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 3993600.

The previous prime is 13041307. The next prime is 13041313. The reversal of 13041312 is 21314031.

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

It is a junction number, because it is equal to n+sod(n) for n = 13041291 and 13041300.

It is not an unprimeable number, because it can be changed into a prime (13041313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99487 + ... + 99617.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 213041312 is an apocalyptic number.

13041312 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 13041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

13041312 is an abundant number, since it is smaller than the sum of its proper divisors (24081312).

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

13041312 is a wasteful number, since it uses less digits than its factorization.

13041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13041312 is about 3611.2756748828. The cubic root of 13041312 is about 235.3822780618.

Adding to 13041312 its reverse (21314031), we get a palindrome (34355343).

The spelling of 13041312 in words is "thirteen million, forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 68 96 102 122 131 136 183 204 244 262 272 366 393 408 488 524 544 732 786 816 976 1037 1048 1464 1572 1632 1952 2074 2096 2227 2928 3111 3144 4148 4192 4454 5856 6222 6288 6681 7991 8296 8908 12444 12576 13362 15982 16592 17816 23973 24888 26724 31964 33184 35632 47946 49776 53448 63928 71264 95892 99552 106896 127856 135847 191784 213792 255712 271694 383568 407541 543388 767136 815082 1086776 1630164 2173552 3260328 4347104 6520656 13041312