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23105628 = 22337132351
BaseRepresentation
bin101100000100…
…1000001011100
31121110212222000
41120021001130
521403340003
62143122300
7400252230
oct130110134
947425860
1023105628
1112051667
1278a3390
134a2cb90
1430d65c0
1520661a3
hex160905c

23105628 has 96 divisors (see below), whose sum is σ = 73758720. Its totient is φ = 6091200.

The previous prime is 23105627. The next prime is 23105629. The reversal of 23105628 is 82650132.

23105628 is a `hidden beast` number, since 2 + 31 + 0 + 5 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (23105627) and next prime (23105629).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (23105627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8653 + ... + 11003.

It is an arithmetic number, because the mean of its divisors is an integer number (768320).

Almost surely, 223105628 is an apocalyptic number.

23105628 is a gapful number since it is divisible by the number (28) 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 23105628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36879360).

23105628 is an abundant number, since it is smaller than the sum of its proper divisors (50653092).

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

23105628 is a wasteful number, since it uses less digits than its factorization.

23105628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 23105628 is about 4806.8313887633. The cubic root of 23105628 is about 284.8213839254.

The spelling of 23105628 in words is "twenty-three million, one hundred five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2351 2457 3276 4702 4914 7053 9404 9828 14106 16457 21159 28212 30563 32914 42318 49371 61126 63477 65828 84636 91689 98742 122252 126954 148113 183378 197484 213941 253908 275067 296226 366756 427882 444339 550134 592452 641823 825201 855764 888678 1100268 1283646 1650402 1777356 1925469 2567292 3300804 3850938 5776407 7701876 11552814 23105628