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23006268 = 223523669
BaseRepresentation
bin101011111000…
…0110000111100
31121021211200000
41113300300330
521342200033
62141034300
7366356445
oct127606074
947254600
1023006268
1111a93a4a
127855990
1349c689c
1430ac2cc
152046a13
hex15f0c3c

23006268 has 36 divisors (see below), whose sum is σ = 60311160. Its totient is φ = 7668432.

The previous prime is 23006261. The next prime is 23006281. The reversal of 23006268 is 86260032.

23006268 is a `hidden beast` number, since 2 + 30 + 0 + 626 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23006261) 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 11 ways as a sum of consecutive naturals, for example, 10863 + ... + 12806.

It is an arithmetic number, because the mean of its divisors is an integer number (1675310).

Almost surely, 223006268 is an apocalyptic number.

It is an amenable number.

23006268 is an abundant number, since it is smaller than the sum of its proper divisors (37304892).

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

23006268 is a wasteful number, since it uses less digits than its factorization.

23006268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23688 (or 23674 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23006268 is about 4796.4849629703. The cubic root of 23006268 is about 284.4125294913.

The spelling of 23006268 in words is "twenty-three million, six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 23669 47338 71007 94676 142014 213021 284028 426042 639063 852084 1278126 1917189 2556252 3834378 5751567 7668756 11503134 23006268