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13415304 = 2337471699
BaseRepresentation
bin110011001011…
…001110001000
3221020120100010
4303023032020
511413242204
61155311520
7222012450
oct63131610
927216303
1013415304
117633131
1245ab5a0
132a19266
141ad2d60
15129ed89
hexccb388

13415304 has 64 divisors (see below), whose sum is σ = 39168000. Its totient is φ = 3749184.

The previous prime is 13415291. The next prime is 13415327. The reversal of 13415304 is 40351431.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 7047 + ... + 8745.

It is an arithmetic number, because the mean of its divisors is an integer number (612000).

Almost surely, 213415304 is an apocalyptic number.

13415304 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 13415304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19584000).

13415304 is an abundant number, since it is smaller than the sum of its proper divisors (25752696).

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

13415304 is a wasteful number, since it uses less digits than its factorization.

13415304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13415304 is about 3662.6908141420. The cubic root of 13415304 is about 237.6111627355.

Adding to 13415304 its reverse (40351431), we get a palindrome (53766735).

The spelling of 13415304 in words is "thirteen million, four hundred fifteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1699 1974 2632 3398 3948 5097 6796 7896 10194 11893 13592 20388 23786 35679 40776 47572 71358 79853 95144 142716 159706 239559 285432 319412 479118 558971 638824 958236 1117942 1676913 1916472 2235884 3353826 4471768 6707652 13415304