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23808680 = 2357233697
BaseRepresentation
bin101101011010…
…0101010101000
31122210121100222
41122310222220
522043334210
62210145212
7406241030
oct132645250
948717328
1023808680
11124918a5
127b82208
134c17b9c
14323a8c0
152154655
hex16b4aa8

23808680 has 64 divisors (see below), whose sum is σ = 63901440. Its totient is φ = 7805952.

The previous prime is 23808679. The next prime is 23808709. The reversal of 23808680 is 8680832.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 23808680.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4592 + ... + 8288.

It is an arithmetic number, because the mean of its divisors is an integer number (998460).

Almost surely, 223808680 is an apocalyptic number.

23808680 is a gapful number since it is divisible by the number (20) 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 23808680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31950720).

23808680 is an abundant number, since it is smaller than the sum of its proper divisors (40092760).

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

23808680 is a wasteful number, since it uses less digits than its factorization.

23808680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 23808680 is about 4879.4138992301. The cubic root of 23808680 is about 287.6813927759.

The spelling of 23808680 in words is "twenty-three million, eight hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 3697 6440 7394 14788 18485 25879 29576 36970 51758 73940 85031 103516 129395 147880 170062 207032 258790 340124 425155 517580 595217 680248 850310 1035160 1190434 1700620 2380868 2976085 3401240 4761736 5952170 11904340 23808680