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23105632 = 2511411601
BaseRepresentation
bin101100000100…
…1000001100000
31121110212222011
41120021001200
521403340012
62143122304
7400252234
oct130110140
947425864
1023105632
1112051670
1278a3394
134a2cb94
1430d65c4
1520661a7
hex1609060

23105632 has 48 divisors (see below), whose sum is σ = 50866704. Its totient is φ = 10240000.

The previous prime is 23105629. The next prime is 23105651. The reversal of 23105632 is 23650132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13632 + ... + 15232.

It is an arithmetic number, because the mean of its divisors is an integer number (1059723).

Almost surely, 223105632 is an apocalyptic number.

23105632 is a gapful number since it is divisible by the number (22) 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 23105632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25433352).

23105632 is an abundant number, since it is smaller than the sum of its proper divisors (27761072).

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

23105632 is a wasteful number, since it uses less digits than its factorization.

23105632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 23105632 is about 4806.8318048378. The cubic root of 23105632 is about 284.8214003613.

Adding to 23105632 its reverse (23650132), we get a palindrome (46755764).

The spelling of 23105632 in words is "twenty-three million, one hundred five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 164 176 328 352 451 656 902 1312 1601 1804 3202 3608 6404 7216 12808 14432 17611 25616 35222 51232 65641 70444 131282 140888 262564 281776 525128 563552 722051 1050256 1444102 2100512 2888204 5776408 11552816 23105632