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13372140 = 2235437173
BaseRepresentation
bin110011000000…
…101011101100
3221011101010110
4303000223230
511410402030
61154340020
7221442555
oct63005354
927141113
1013372140
117603761
12458a610
132a02712
141ac132c
1512921b0
hexcc0aec

13372140 has 96 divisors (see below), whose sum is σ = 39384576. Its totient is φ = 3386880.

The previous prime is 13372123. The next prime is 13372153. The reversal of 13372140 is 4127331.

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 31 ways as a sum of consecutive naturals, for example, 183144 + ... + 183216.

It is an arithmetic number, because the mean of its divisors is an integer number (410256).

Almost surely, 213372140 is an apocalyptic number.

13372140 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 13372140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19692288).

13372140 is an abundant number, since it is smaller than the sum of its proper divisors (26012436).

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

13372140 is a wasteful number, since it uses less digits than its factorization.

13372140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 13372140 is about 3656.7936775268. The cubic root of 13372140 is about 237.3560494255.

Adding to 13372140 its reverse (4127331), we get a palindrome (17499471).

The spelling of 13372140 in words is "thirteen million, three hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 71 73 86 129 142 146 172 213 215 219 258 284 292 355 365 426 430 438 516 645 710 730 852 860 876 1065 1095 1290 1420 1460 2130 2190 2580 3053 3139 4260 4380 5183 6106 6278 9159 9417 10366 12212 12556 15265 15549 15695 18318 18834 20732 25915 30530 31098 31390 36636 37668 45795 47085 51830 61060 62196 62780 77745 91590 94170 103660 155490 183180 188340 222869 310980 445738 668607 891476 1114345 1337214 2228690 2674428 3343035 4457380 6686070 13372140