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13727430 = 23251271201
BaseRepresentation
bin110100010111…
…011011000110
3221211102111100
4310113123012
512003234210
61210120530
7224452443
oct64273306
927742440
1013727430
117826692
124720146
132ac8352
141b749ca
1513125c0
hexd176c6

13727430 has 48 divisors (see below), whose sum is σ = 36002304. Its totient is φ = 3628800.

The previous prime is 13727423. The next prime is 13727437. The reversal of 13727430 is 3472731.

It is an interprime number because it is at equal distance from previous prime (13727423) and next prime (13727437).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13727394 and 13727403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13727437) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10830 + ... + 12030.

It is an arithmetic number, because the mean of its divisors is an integer number (750048).

Almost surely, 213727430 is an apocalyptic number.

13727430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13727430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18001152).

13727430 is an abundant number, since it is smaller than the sum of its proper divisors (22274874).

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

13727430 is a wasteful number, since it uses less digits than its factorization.

13727430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 13727430 is about 3705.0546554673. The cubic root of 13727430 is about 239.4398394344.

The spelling of 13727430 in words is "thirteen million, seven hundred twenty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1201 1270 1905 2286 2402 3603 3810 5715 6005 7206 10809 11430 12010 18015 21618 36030 54045 108090 152527 305054 457581 762635 915162 1372743 1525270 2287905 2745486 4575810 6863715 13727430