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23870688 = 2531923569
BaseRepresentation
bin101101100001…
…1110011100000
31122220202102120
41123003303200
522102330223
62211344240
7406616562
oct133036340
948822376
1023870688
1112524446
127bb2080
134c3a18a
143255332
152167be3
hex16c3ce0

23870688 has 96 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 7197696.

The previous prime is 23870681. The next prime is 23870701. The reversal of 23870688 is 88607832.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23870681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41668 + ... + 42236.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 223870688 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 23870688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

23870688 is an abundant number, since it is smaller than the sum of its proper divisors (45076512).

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

23870688 is a wasteful number, since it uses less digits than its factorization.

23870688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 23870688 is about 4885.7638092728. The cubic root of 23870688 is about 287.9309247920.

The spelling of 23870688 in words is "twenty-three million, eight hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 114 138 152 184 228 276 304 368 437 456 552 569 608 736 874 912 1104 1138 1311 1707 1748 1824 2208 2276 2622 3414 3496 4552 5244 6828 6992 9104 10488 10811 13087 13656 13984 18208 20976 21622 26174 27312 32433 39261 41952 43244 52348 54624 64866 78522 86488 104696 129732 157044 172976 209392 248653 259464 314088 345952 418784 497306 518928 628176 745959 994612 1037856 1256352 1491918 1989224 2983836 3978448 5967672 7956896 11935344 23870688