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13486320 = 2432518731
BaseRepresentation
bin110011011100…
…100011110000
3221101011202100
4303130203300
511423030240
61201020400
7222426501
oct63344360
927334670
1013486320
117681521
124624700
132a42693
141b10ba8
1512b5e30
hexcdc8f0

13486320 has 60 divisors (see below), whose sum is σ = 45293976. Its totient is φ = 3596160.

The previous prime is 13486313. The next prime is 13486331. The reversal of 13486320 is 2368431.

It is a happy number.

13486320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8646 + ... + 10085.

Almost surely, 213486320 is an apocalyptic number.

13486320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13486320 is an abundant number, since it is smaller than the sum of its proper divisors (31807656).

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

13486320 is a wasteful number, since it uses less digits than its factorization.

13486320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18750 (or 18741 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 13486320 is about 3672.3725301227. The cubic root of 13486320 is about 238.0297022931.

The spelling of 13486320 in words is "thirteen million, four hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 18731 37462 56193 74924 93655 112386 149848 168579 187310 224772 280965 299696 337158 374620 449544 561930 674316 749240 842895 899088 1123860 1348632 1498480 1685790 2247720 2697264 3371580 4495440 6743160 13486320