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23265580 = 22513432081
BaseRepresentation
bin101100011000…
…0000100101100
31121210000101011
41120300010230
521423444310
62150355004
7401516452
oct130600454
947700334
1023265580
1112150858
12795ba64
134a87920
1431389d2
15209878a
hex163012c

23265580 has 48 divisors (see below), whose sum is σ = 53865504. Its totient is φ = 8386560.

The previous prime is 23265577. The next prime is 23265587. The reversal of 23265580 is 8556232.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23265587) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10140 + ... + 12220.

It is an arithmetic number, because the mean of its divisors is an integer number (1122198).

Almost surely, 223265580 is an apocalyptic number.

23265580 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 23265580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26932752).

23265580 is an abundant number, since it is smaller than the sum of its proper divisors (30599924).

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

23265580 is a wasteful number, since it uses less digits than its factorization.

23265580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 23265580 is about 4823.4406806760. The cubic root of 23265580 is about 285.4771119842.

The spelling of 23265580 in words is "twenty-three million, two hundred sixty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 860 1118 2081 2236 2795 4162 5590 8324 10405 11180 20810 27053 41620 54106 89483 108212 135265 178966 270530 357932 447415 541060 894830 1163279 1789660 2326558 4653116 5816395 11632790 23265580