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13307392 = 2974779
BaseRepresentation
bin110010110000…
…111000000000
3221001002022101
4302300320000
511401314032
61153120144
7221053030
oct62607000
927032271
1013307392
11756a04a
124559054
1329ac0c7
141aa58c0
15127cde7
hexcb0e00

13307392 has 80 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 5511168.

The previous prime is 13307387. The next prime is 13307417. The reversal of 13307392 is 29370331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 13307392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 168409 + ... + 168487.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 213307392 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 13307392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).

13307392 is an abundant number, since it is smaller than the sum of its proper divisors (18119168).

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

13307392 is an frugal number, since it uses more digits than its factorization.

13307392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 13307392 is about 3647.9298238864. The cubic root of 13307392 is about 236.9723361991.

The spelling of 13307392 in words is "thirteen million, three hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 79 94 112 128 158 188 224 256 316 329 376 448 512 553 632 658 752 896 1106 1264 1316 1504 1792 2212 2528 2632 3008 3584 3713 4424 5056 5264 6016 7426 8848 10112 10528 12032 14852 17696 20224 21056 24064 25991 29704 35392 40448 42112 51982 59408 70784 84224 103964 118816 141568 168448 207928 237632 283136 415856 475264 831712 950528 1663424 1901056 3326848 6653696 13307392