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13339424 = 2571731113
BaseRepresentation
bin110010111000…
…101100100000
3221002201020202
4302320230200
511403330144
61153524332
7221245310
oct62705440
927081222
1013339424
11759111a
1245736a8
1329c0867
141ab3440
15128764e
hexcb8b20

13339424 has 96 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 5160960.

The previous prime is 13339421. The next prime is 13339429. The reversal of 13339424 is 42493331.

13339424 = T227 + T228 + ... + T450.

It is not an unprimeable number, because it can be changed into a prime (13339421) 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, 117992 + ... + 118104.

It is an arithmetic number, because the mean of its divisors is an integer number (344736).

Almost surely, 213339424 is an apocalyptic number.

13339424 is a gapful number since it is divisible by the number (14) 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 13339424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

13339424 is an abundant number, since it is smaller than the sum of its proper divisors (19755232).

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

13339424 is a wasteful number, since it uses less digits than its factorization.

13339424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 170 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

The square root of 13339424 is about 3652.3176203611. The cubic root of 13339424 is about 237.1623212221.

The spelling of 13339424 in words is "thirteen million, three hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 68 112 113 119 124 136 217 224 226 238 248 272 434 452 476 496 527 544 791 868 904 952 992 1054 1582 1736 1808 1904 1921 2108 3164 3472 3503 3616 3689 3808 3842 4216 6328 6944 7006 7378 7684 8432 12656 13447 14012 14756 15368 16864 24521 25312 26894 28024 29512 30736 49042 53788 56048 59024 59551 61472 98084 107576 112096 118048 119102 196168 215152 238204 392336 416857 430304 476408 784672 833714 952816 1667428 1905632 3334856 6669712 13339424