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23739680 = 255236451
BaseRepresentation
bin101101010001…
…1110100100000
31122200002201102
41122203310200
522034132210
62204453532
7405532616
oct132436440
948602642
1023739680
1112444a78
127b4a2a8
134bc2663
14321d6b6
15213dea5
hex16a3d20

23739680 has 48 divisors (see below), whose sum is σ = 58532544. Its totient is φ = 9081600.

The previous prime is 23739679. The next prime is 23739713. The reversal of 23739680 is 8693732.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455 + ... + 6905.

It is an arithmetic number, because the mean of its divisors is an integer number (1219428).

Almost surely, 223739680 is an apocalyptic number.

23739680 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 23739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29266272).

23739680 is an abundant number, since it is smaller than the sum of its proper divisors (34792864).

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

23739680 is a wasteful number, since it uses less digits than its factorization.

23739680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489 (or 6481 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 23739680 is about 4872.3382477000. The cubic root of 23739680 is about 287.4032137976.

The spelling of 23739680 in words is "twenty-three million, seven hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 6451 12902 25804 32255 51608 64510 103216 129020 148373 206432 258040 296746 516080 593492 741865 1032160 1186984 1483730 2373968 2967460 4747936 5934920 11869840 23739680