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23102976 = 29313289
BaseRepresentation
bin101100000100…
…0011000000000
31121110202022210
41120020120000
521403243401
62143102120
7400241421
oct130103000
947422283
1023102976
111204a676
1278a1940
134a2b900
1430d5648
1520654d6
hex1608600

23102976 has 120 divisors (see below), whose sum is σ = 67395240. Its totient is φ = 7028736.

The previous prime is 23102941. The next prime is 23103019. The reversal of 23102976 is 67920132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 259540 + ... + 259628.

It is an arithmetic number, because the mean of its divisors is an integer number (561627).

Almost surely, 223102976 is an apocalyptic number.

23102976 is a gapful number since it is divisible by the number (26) 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 23102976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33697620).

23102976 is an abundant number, since it is smaller than the sum of its proper divisors (44292264).

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

23102976 is an equidigital number, since it uses as much as digits as its factorization.

23102976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 23102976 is about 4806.5555234492. Note that the first 4 decimals coincide. The cubic root of 23102976 is about 284.8104865053.

The spelling of 23102976 in words is "twenty-three million, one hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 89 96 104 128 156 169 178 192 208 256 267 312 338 356 384 416 507 512 534 624 676 712 768 832 1014 1068 1157 1248 1352 1424 1536 1664 2028 2136 2314 2496 2704 2848 3328 3471 4056 4272 4628 4992 5408 5696 6656 6942 8112 8544 9256 9984 10816 11392 13884 15041 16224 17088 18512 19968 21632 22784 27768 30082 32448 34176 37024 43264 45123 45568 55536 60164 64896 68352 74048 86528 90246 111072 120328 129792 136704 148096 180492 222144 240656 259584 296192 360984 444288 481312 592384 721968 888576 962624 1443936 1777152 1925248 2887872 3850496 5775744 7700992 11551488 23102976