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13495040 = 28513811
BaseRepresentation
bin110011011110…
…101100000000
3221101121201022
4303132230000
511423320130
61201125012
7222464066
oct63365400
927347638
1013495040
117688029
124629768
132a46640
141b14036
1512b87e5
hexcdeb00

13495040 has 72 divisors (see below), whose sum is σ = 34854288. Its totient is φ = 4976640.

The previous prime is 13495033. The next prime is 13495049. The reversal of 13495040 is 4059431.

It is a super-2 number, since 2×134950402 = 364232209203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (13495049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 16235 + ... + 17045.

Almost surely, 213495040 is an apocalyptic number.

13495040 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 13495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427144).

13495040 is an abundant number, since it is smaller than the sum of its proper divisors (21359248).

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

13495040 is an equidigital number, since it uses as much as digits as its factorization.

13495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 13495040 is about 3673.5595816592. The cubic root of 13495040 is about 238.0809930779.

The spelling of 13495040 in words is "thirteen million, four hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 811 832 1040 1280 1622 1664 2080 3244 3328 4055 4160 6488 8110 8320 10543 12976 16220 16640 21086 25952 32440 42172 51904 52715 64880 84344 103808 105430 129760 168688 207616 210860 259520 337376 421720 519040 674752 843440 1038080 1349504 1686880 2699008 3373760 6747520 13495040