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13347140 = 225412397
BaseRepresentation
bin110010111010…
…100101000100
3221010002211112
4302322211010
511404102030
61154024152
7221306642
oct62724504
927102745
1013347140
1175969a4
124578058
1329c4221
141ab6192
151289a95
hexcba944

13347140 has 36 divisors (see below), whose sum is σ = 28801668. Its totient is φ = 5195520.

The previous prime is 13347133. The next prime is 13347151. The reversal of 13347140 is 4174331.

It can be written as a sum of positive squares in 6 ways, for example, as 3625216 + 9721924 = 1904^2 + 3118^2 .

It is a super-2 number, since 2×133471402 = 356292292359200, which contains 22 as substring.

It is a nialpdrome in base 16.

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 11 ways as a sum of consecutive naturals, for example, 33422 + ... + 33818.

Almost surely, 213347140 is an apocalyptic number.

13347140 is a gapful number since it is divisible by the number (10) 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 13347140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14400834).

13347140 is an abundant number, since it is smaller than the sum of its proper divisors (15454528).

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

13347140 is a wasteful number, since it uses less digits than its factorization.

13347140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 13347140 is about 3653.3737832311. The cubic root of 13347140 is about 237.2080401314.

The spelling of 13347140 in words is "thirteen million, three hundred forty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 397 410 794 820 1588 1681 1985 3362 3970 6724 7940 8405 16277 16810 32554 33620 65108 81385 162770 325540 667357 1334714 2669428 3336785 6673570 13347140