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13325312 = 210711132
BaseRepresentation
bin110010110101…
…010000000000
3221001222220002
4302311100000
511402402222
61153335132
7221156210
oct62652000
927058802
1013325312
117581560
1245674a8
1329b7300
141aac240
151283392
hexcb5400

13325312 has 132 divisors (see below), whose sum is σ = 35961696. Its totient is φ = 4792320.

The previous prime is 13325311. The next prime is 13325329. The reversal of 13325312 is 21352331.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13325311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1025018 + ... + 1025030.

Almost surely, 213325312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13325312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980848).

13325312 is an abundant number, since it is smaller than the sum of its proper divisors (22636384).

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

13325312 is a wasteful number, since it uses less digits than its factorization.

13325312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 33 counting only the distinct ones).

The product of its digits is 540, while the sum is 20.

The square root of 13325312 is about 3650.3851851551. The cubic root of 13325312 is about 237.0786590491.

Adding to 13325312 its reverse (21352331), we get a palindrome (34677643).

The spelling of 13325312 in words is "thirteen million, three hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 169 176 182 208 224 256 286 308 338 352 364 416 448 512 572 616 676 704 728 832 896 1001 1024 1144 1183 1232 1352 1408 1456 1664 1792 1859 2002 2288 2366 2464 2704 2816 2912 3328 3584 3718 4004 4576 4732 4928 5408 5632 5824 6656 7168 7436 8008 9152 9464 9856 10816 11264 11648 13013 13312 14872 16016 18304 18928 19712 21632 23296 26026 29744 32032 36608 37856 39424 43264 46592 52052 59488 64064 73216 75712 78848 86528 93184 104104 118976 128128 146432 151424 173056 208208 237952 256256 302848 416416 475904 512512 605696 832832 951808 1025024 1211392 1665664 1903616 3331328 6662656 13325312