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23109632 = 21371331
BaseRepresentation
bin101100000101…
…0000000000000
31121111002110022
41120022000000
521404002012
62143153012
7400300010
oct130120000
947432408
1023109632
1112054677
1278a5768
134a31950
1430d7c40
152067472
hex160a000

23109632 has 112 divisors (see below), whose sum is σ = 58716672. Its totient is φ = 8847360.

The previous prime is 23109631. The next prime is 23109637. The reversal of 23109632 is 23690132.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (23109631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 745457 + ... + 745487.

It is an arithmetic number, because the mean of its divisors is an integer number (524256).

Almost surely, 223109632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23109632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29358336).

23109632 is an abundant number, since it is smaller than the sum of its proper divisors (35607040).

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

23109632 is an equidigital number, since it uses as much as digits as its factorization.

23109632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 23109632 is about 4807.2478613028. The cubic root of 23109632 is about 284.8378353134.

Adding to 23109632 its reverse (23690132), we get a palindrome (46799764).

The spelling of 23109632 in words is "twenty-three million, one hundred nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 256 364 403 416 434 448 496 512 728 806 832 868 896 992 1024 1456 1612 1664 1736 1792 1984 2048 2821 2912 3224 3328 3472 3584 3968 4096 5642 5824 6448 6656 6944 7168 7936 8192 11284 11648 12896 13312 13888 14336 15872 22568 23296 25792 26624 27776 28672 31744 45136 46592 51584 53248 55552 57344 63488 90272 93184 103168 106496 111104 126976 180544 186368 206336 222208 253952 361088 372736 412672 444416 722176 745472 825344 888832 1444352 1650688 1777664 2888704 3301376 5777408 11554816 23109632