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23096832 = 293111367
BaseRepresentation
bin101100000011…
…0111000000000
31121110102220020
41120012320000
521403044312
62143013440
7400214463
oct130067000
947412806
1023096832
1112045aa0
12789a280
134a28b85
1430d32da
15206378c
hex1606e00

23096832 has 80 divisors (see below), whose sum is σ = 67174272. Its totient is φ = 6993920.

The previous prime is 23096819. The next prime is 23096839. The reversal of 23096832 is 23869032.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 23096793 and 23096802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23096839) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16213 + ... + 17579.

Almost surely, 223096832 is an apocalyptic number.

23096832 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 23096832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33587136).

23096832 is an abundant number, since it is smaller than the sum of its proper divisors (44077440).

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

23096832 is a wasteful number, since it uses less digits than its factorization.

23096832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 23096832 is about 4805.9163538289. The cubic root of 23096832 is about 284.7852367889.

The spelling of 23096832 in words is "twenty-three million, ninety-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1367 1408 1536 2112 2734 2816 4101 4224 5468 5632 8202 8448 10936 15037 16404 16896 21872 30074 32808 43744 45111 60148 65616 87488 90222 120296 131232 174976 180444 240592 262464 349952 360888 481184 524928 699904 721776 962368 1049856 1443552 1924736 2099712 2887104 3849472 5774208 7698944 11548416 23096832