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13494840 = 23351071051
BaseRepresentation
bin110011011110…
…101000111000
3221101121102220
4303132220320
511423313330
61201124040
7222463362
oct63365070
927347386
1013494840
117687967
124629620
132a46518
141b13d32
1512b8710
hexcdea38

13494840 has 64 divisors (see below), whose sum is σ = 40901760. Its totient is φ = 3561600.

The previous prime is 13494839. The next prime is 13494857. The reversal of 13494840 is 4849431.

It is a happy number.

It is a super-2 number, since 2×134948402 = 364221413251200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12315 + ... + 13365.

It is an arithmetic number, because the mean of its divisors is an integer number (639090).

Almost surely, 213494840 is an apocalyptic number.

13494840 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 13494840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20450880).

13494840 is an abundant number, since it is smaller than the sum of its proper divisors (27406920).

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

13494840 is a wasteful number, since it uses less digits than its factorization.

13494840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 13494840 is about 3673.5323600045. The cubic root of 13494840 is about 238.0798169314.

The spelling of 13494840 in words is "thirteen million, four hundred ninety-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1051 1070 1284 1605 2102 2140 2568 3153 3210 4204 4280 5255 6306 6420 8408 10510 12612 12840 15765 21020 25224 31530 42040 63060 112457 126120 224914 337371 449828 562285 674742 899656 1124570 1349484 1686855 2249140 2698968 3373710 4498280 6747420 13494840