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23280096 = 25374101
BaseRepresentation
bin101100011001…
…1100111100000
31121210202021210
41120303213200
521424430341
62150550120
7401610000
oct130634740
947722253
1023280096
1112160754
127968340
134a91408
143140000
15209cc16
hex16339e0

23280096 has 120 divisors (see below), whose sum is σ = 71996904. Its totient is φ = 6585600.

The previous prime is 23280083. The next prime is 23280109. The reversal of 23280096 is 69008232.

It is an interprime number because it is at equal distance from previous prime (23280083) and next prime (23280109).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230446 + ... + 230546.

Almost surely, 223280096 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 23280096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35998452).

23280096 is an abundant number, since it is smaller than the sum of its proper divisors (48716808).

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

23280096 is an equidigital number, since it uses as much as digits as its factorization.

23280096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 23280096 is about 4824.9451810357. The cubic root of 23280096 is about 285.5364718369.

The spelling of 23280096 in words is "twenty-three million, two hundred eighty thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 101 112 147 168 196 202 224 294 303 336 343 392 404 588 606 672 686 707 784 808 1029 1176 1212 1372 1414 1568 1616 2058 2121 2352 2401 2424 2744 2828 3232 4116 4242 4704 4802 4848 4949 5488 5656 7203 8232 8484 9604 9696 9898 10976 11312 14406 14847 16464 16968 19208 19796 22624 28812 29694 32928 33936 34643 38416 39592 57624 59388 67872 69286 76832 79184 103929 115248 118776 138572 158368 207858 230496 237552 242501 277144 415716 475104 485002 554288 727503 831432 970004 1108576 1455006 1662864 1940008 2910012 3325728 3880016 5820024 7760032 11640048 23280096