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23269632 = 28341739
BaseRepresentation
bin101100011000…
…1000100000000
31121210012221020
41120301010000
521424112012
62150425440
7401534331
oct130610400
947705836
1023269632
1112153901
127962280
134a89719
14313a288
152099a8c
hex1631100

23269632 has 72 divisors (see below), whose sum is σ = 63527520. Its totient is φ = 7557120.

The previous prime is 23269601. The next prime is 23269637. The reversal of 23269632 is 23696232.

It is a junction number, because it is equal to n+sod(n) for n = 23269593 and 23269602.

It is not an unprimeable number, because it can be changed into a prime (23269637) by changing a digit.

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, 31119 + ... + 31857.

Almost surely, 223269632 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 23269632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31763760).

23269632 is an abundant number, since it is smaller than the sum of its proper divisors (40257888).

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

23269632 is an equidigital number, since it uses as much as digits as its factorization.

23269632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 785 counting only the distinct ones).

The product of its digits is 23328, while the sum is 33.

The square root of 23269632 is about 4823.8606945060. The cubic root of 23269632 is about 285.4936841924.

The spelling of 23269632 in words is "twenty-three million, two hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 739 768 984 1312 1478 1968 2217 2624 2956 3936 4434 5248 5912 7872 8868 10496 11824 15744 17736 23648 30299 31488 35472 47296 60598 70944 90897 94592 121196 141888 181794 189184 242392 283776 363588 484784 567552 727176 969568 1454352 1939136 2908704 3878272 5817408 7756544 11634816 23269632