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13969312 = 257259151
BaseRepresentation
bin110101010010…
…011110100000
3222021201021221
4311102132200
512034004222
61215224424
7226510600
oct65223640
928251257
1013969312
117981395
124818114
132b81486
141bd8c00
15135e0c7
hexd527a0

13969312 has 72 divisors (see below), whose sum is σ = 32749920. Its totient is φ = 5846400.

The previous prime is 13969309. The next prime is 13969337. The reversal of 13969312 is 21396931.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92437 + ... + 92587.

It is an arithmetic number, because the mean of its divisors is an integer number (454860).

Almost surely, 213969312 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 13969312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374960).

13969312 is an abundant number, since it is smaller than the sum of its proper divisors (18780608).

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

13969312 is a wasteful number, since it uses less digits than its factorization.

13969312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its digits is 8748, while the sum is 34.

The square root of 13969312 is about 3737.5542805423. The cubic root of 13969312 is about 240.8379965280.

The spelling of 13969312 in words is "thirteen million, nine hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 151 196 224 236 302 392 413 472 604 784 826 944 1057 1208 1568 1652 1888 2114 2416 2891 3304 4228 4832 5782 6608 7399 8456 8909 11564 13216 14798 16912 17818 23128 29596 33824 35636 46256 59192 62363 71272 92512 118384 124726 142544 236768 249452 285088 436541 498904 873082 997808 1746164 1995616 3492328 6984656 13969312