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23628690 = 2325262541
BaseRepresentation
bin101101000100…
…0101110010010
31122110110110200
41122020232102
522022104230
62202240030
7404561211
oct132105622
948413420
1023628690
1112379648
127ab6016
134b83c97
1431d1078
15211b160
hex1688b92

23628690 has 24 divisors (see below), whose sum is σ = 61434828. Its totient is φ = 6300960.

The previous prime is 23628677. The next prime is 23628697. The reversal of 23628690 is 9682632.

23628690 is a `hidden beast` number, since 23 + 628 + 6 + 9 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22724289 + 904401 = 4767^2 + 951^2 .

It is a super-2 number, since 2×236286902 = 1116629982232200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23628697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131181 + ... + 131360.

Almost surely, 223628690 is an apocalyptic number.

23628690 is an abundant number, since it is smaller than the sum of its proper divisors (37806138).

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

23628690 is a wasteful number, since it uses less digits than its factorization.

23628690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262554 (or 262551 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 23628690 is about 4860.9350952260. The cubic root of 23628690 is about 286.9546157198.

The spelling of 23628690 in words is "twenty-three million, six hundred twenty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 262541 525082 787623 1312705 1575246 2362869 2625410 3938115 4725738 7876230 11814345 23628690