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13437468 = 22331111311
BaseRepresentation
bin110011010000…
…101000011100
3221021200202000
4303100220130
511414444333
61200002300
7222134202
oct63205034
927250660
1013437468
117648850
124600390
132a26385
141adb072
1512a6713
hexcd0a1c

13437468 has 48 divisors (see below), whose sum is σ = 38008320. Its totient is φ = 4071600.

The previous prime is 13437467. The next prime is 13437481. The reversal of 13437468 is 86473431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13437467) 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, 4468 + ... + 6843.

It is an arithmetic number, because the mean of its divisors is an integer number (791840).

Almost surely, 213437468 is an apocalyptic number.

13437468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13437468 is an abundant number, since it is smaller than the sum of its proper divisors (24570852).

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

13437468 is a wasteful number, since it uses less digits than its factorization.

13437468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11335 (or 11327 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 13437468 is about 3665.7152098874. The cubic root of 13437468 is about 237.7419466070.

The spelling of 13437468 in words is "thirteen million, four hundred thirty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 11311 22622 33933 45244 67866 101799 124421 135732 203598 248842 305397 373263 407196 497684 610794 746526 1119789 1221588 1493052 2239578 3359367 4479156 6718734 13437468