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23056680 = 2335271709
BaseRepresentation
bin101011111110…
…1000100101000
31121101101211010
41113331010220
521400303210
62142103520
7366656433
oct127750450
947341733
1023056680
1112018909
12787aba0
134a1380a
1430c281a
152056920
hex15fd128

23056680 has 64 divisors (see below), whose sum is σ = 69523200. Its totient is φ = 6117120.

The previous prime is 23056679. The next prime is 23056687. The reversal of 23056680 is 8665032.

It is a super-2 number, since 2×230566802 = 1063220985244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (23056687) 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 15 ways as a sum of consecutive naturals, for example, 32166 + ... + 32874.

It is an arithmetic number, because the mean of its divisors is an integer number (1086300).

Almost surely, 223056680 is an apocalyptic number.

23056680 is a gapful number since it is divisible by the number (20) 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 23056680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34761600).

23056680 is an abundant number, since it is smaller than the sum of its proper divisors (46466520).

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

23056680 is a wasteful number, since it uses less digits than its factorization.

23056680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 23056680 is about 4801.7371856444. The cubic root of 23056680 is about 284.6201155963.

The spelling of 23056680 in words is "twenty-three million, fifty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 709 813 1084 1355 1418 1626 2127 2168 2710 2836 3252 3545 4065 4254 5420 5672 6504 7090 8130 8508 10635 10840 14180 16260 17016 21270 28360 32520 42540 85080 192139 384278 576417 768556 960695 1152834 1537112 1921390 2305668 2882085 3842780 4611336 5764170 7685560 11528340 23056680