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13641460 = 2257139701
BaseRepresentation
bin110100000010…
…011011110100
3221200001120021
4310002123310
511443011320
61204214524
7223644010
oct64023364
927601507
1013641460
117778038
12469a444
132a98191
141b51540
1512e6daa
hexd026f4

13641460 has 48 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 4636800.

The previous prime is 13641431. The next prime is 13641499. The reversal of 13641460 is 6414631.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19110 + ... + 19810.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 213641460 is an apocalyptic number.

13641460 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 13641460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

13641460 is an abundant number, since it is smaller than the sum of its proper divisors (19380620).

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

13641460 is a wasteful number, since it uses less digits than its factorization.

13641460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 13641460 is about 3693.4347158167. The cubic root of 13641460 is about 238.9389502280.

The spelling of 13641460 in words is "thirteen million, six hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 556 695 701 973 1390 1402 1946 2780 2804 3505 3892 4865 4907 7010 9730 9814 14020 19460 19628 24535 49070 97439 98140 194878 389756 487195 682073 974390 1364146 1948780 2728292 3410365 6820730 13641460