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23656680 = 2332565713
BaseRepresentation
bin101101000111…
…1100011101000
31122111212212100
41122033203220
522024003210
62203013400
7405035625
oct132174350
948455770
1023656680
1112398683
127b0a260
134b93948
1431db34c
1521245c0
hex168f8e8

23656680 has 48 divisors (see below), whose sum is σ = 76885380. Its totient is φ = 6308352.

The previous prime is 23656669. The next prime is 23656753. The reversal of 23656680 is 8665632.

It can be written as a sum of positive squares in 2 ways, for example, as 23213124 + 443556 = 4818^2 + 666^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 32497 + ... + 33216.

Almost surely, 223656680 is an apocalyptic number.

23656680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23656680 is an abundant number, since it is smaller than the sum of its proper divisors (53228700).

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

23656680 is a wasteful number, since it uses less digits than its factorization.

23656680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65730 (or 65723 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 23656680 is about 4863.8133187860. The cubic root of 23656680 is about 287.0678776107.

It can be divided in two parts, 23656 and 680, that added together give a square (24336 = 1562).

The spelling of 23656680 in words is "twenty-three million, six hundred fifty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 65713 131426 197139 262852 328565 394278 525704 591417 657130 788556 985695 1182834 1314260 1577112 1971390 2365668 2628520 2957085 3942780 4731336 5914170 7885560 11828340 23656680