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13502496 = 253771283
BaseRepresentation
bin110011100000…
…100000100000
3221101222221110
4303200200200
511424034441
61201223320
7222524610
oct63404040
927358843
1013502496
117692697
124631b40
132a49b57
141b16a40
1512bab16
hexce0820

13502496 has 96 divisors (see below), whose sum is σ = 41223168. Its totient is φ = 3790080.

The previous prime is 13502491. The next prime is 13502501. The reversal of 13502496 is 69420531.

It is an interprime number because it is at equal distance from previous prime (13502491) and next prime (13502501).

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

It is not an unprimeable number, because it can be changed into a prime (13502491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47571 + ... + 47853.

It is an arithmetic number, because the mean of its divisors is an integer number (429408).

Almost surely, 213502496 is an apocalyptic number.

13502496 is a gapful number since it is divisible by the number (16) 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 13502496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20611584).

13502496 is an abundant number, since it is smaller than the sum of its proper divisors (27720672).

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

13502496 is a wasteful number, since it uses less digits than its factorization.

13502496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 13502496 is about 3674.5742610539. The cubic root of 13502496 is about 238.1248315318.

The spelling of 13502496 in words is "thirteen million, five hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 283 284 336 426 497 566 568 672 849 852 994 1132 1136 1491 1698 1704 1981 1988 2264 2272 2982 3396 3408 3962 3976 4528 5943 5964 6792 6816 7924 7952 9056 11886 11928 13584 15848 15904 20093 23772 23856 27168 31696 40186 47544 47712 60279 63392 80372 95088 120558 140651 160744 190176 241116 281302 321488 421953 482232 562604 642976 843906 964464 1125208 1687812 1928928 2250416 3375624 4500832 6751248 13502496