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14156496 = 2432372657
BaseRepresentation
bin110110000000…
…001011010000
3222122020001200
4312000023100
512111001441
61223231200
7231220404
oct66001320
928566050
1014156496
117a99a92
1248a8500
132c18733
141c47104
1513997b6
hexd802d0

14156496 has 60 divisors (see below), whose sum is σ = 40704612. Its totient is φ = 4589568.

The previous prime is 14156473. The next prime is 14156537. The reversal of 14156496 is 69465141.

14156496 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 649 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11128896 + 3027600 = 3336^2 + 1740^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14156496.

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, 4000 + ... + 6656.

Almost surely, 214156496 is an apocalyptic number.

14156496 is a gapful number since it is divisible by the number (16) 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 14156496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20352306).

14156496 is an abundant number, since it is smaller than the sum of its proper divisors (26548116).

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

14156496 is a wasteful number, since it uses less digits than its factorization.

14156496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2699 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 14156496 is about 3762.5119268914. The cubic root of 14156496 is about 241.9089428158.

The spelling of 14156496 in words is "fourteen million, one hundred fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2657 2664 5314 5328 7971 10628 15942 21256 23913 31884 42512 47826 63768 95652 98309 127536 191304 196618 294927 382608 393236 589854 786472 884781 1179708 1572944 1769562 2359416 3539124 4718832 7078248 14156496