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23076768 = 2531113412
BaseRepresentation
bin101100000000…
…1111110100000
31121102102101010
41120001332200
521401424033
62142340520
7400102131
oct130017640
947372333
1023076768
1112031a10
12788a740
134a1c9c0
1430c9c88
15205c863
hex1601fa0

23076768 has 144 divisors (see below), whose sum is σ = 72944928. Its totient is φ = 6297600.

The previous prime is 23076761. The next prime is 23076793. The reversal of 23076768 is 86767032.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (23076761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562828 + ... + 562868.

It is an arithmetic number, because the mean of its divisors is an integer number (506562).

Almost surely, 223076768 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 23076768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36472464).

23076768 is an abundant number, since it is smaller than the sum of its proper divisors (49868160).

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

23076768 is a wasteful number, since it uses less digits than its factorization.

23076768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 23076768 is about 4803.8284732076. The cubic root of 23076768 is about 284.7027494831.

The spelling of 23076768 in words is "twenty-three million, seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 41 44 48 52 66 78 82 88 96 104 123 132 143 156 164 176 208 246 264 286 312 328 352 416 429 451 492 528 533 572 624 656 858 902 984 1056 1066 1144 1248 1312 1353 1599 1681 1716 1804 1968 2132 2288 2706 3198 3362 3432 3608 3936 4264 4576 5043 5412 5863 6396 6724 6864 7216 8528 10086 10824 11726 12792 13448 13728 14432 17056 17589 18491 20172 21648 21853 23452 25584 26896 35178 36982 40344 43296 43706 46904 51168 53792 55473 65559 70356 73964 80688 87412 93808 110946 131118 140712 147928 161376 174824 187616 221892 240383 262236 281424 295856 349648 443784 480766 524472 562848 591712 699296 721149 887568 961532 1048944 1442298 1775136 1923064 2097888 2884596 3846128 5769192 7692256 11538384 23076768