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23000660 = 22517611109
BaseRepresentation
bin101011110111…
…1011001010100
31121021112222022
41113233121110
521342010120
62140552312
7366334214
oct127573124
947245868
1023000660
1111a8a811
127852698
1349c4177
1430aa244
152045025
hex15ef654

23000660 has 48 divisors (see below), whose sum is σ = 52027920. Its totient is φ = 8509440.

The previous prime is 23000647. The next prime is 23000689. The reversal of 23000660 is 6600032.

It can be written as a sum of positive squares in 8 ways, for example, as 6370576 + 16630084 = 2524^2 + 4078^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20186 + ... + 21294.

It is an arithmetic number, because the mean of its divisors is an integer number (1083915).

Almost surely, 223000660 is an apocalyptic number.

23000660 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 23000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26013960).

23000660 is an abundant number, since it is smaller than the sum of its proper divisors (29027260).

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

23000660 is a wasteful number, since it uses less digits than its factorization.

23000660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 23000660 is about 4795.9003325757. The cubic root of 23000660 is about 284.3894181797.

Adding to 23000660 its reverse (6600032), we get a palindrome (29600692).

The spelling of 23000660 in words is "twenty-three million, six hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1109 1220 2074 2218 4148 4436 5185 5545 10370 11090 18853 20740 22180 37706 67649 75412 94265 135298 188530 270596 338245 377060 676490 1150033 1352980 2300066 4600132 5750165 11500330 23000660