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23852640 = 2535731229
BaseRepresentation
bin101101011111…
…1011001100000
31122212211200010
41122333121200
522101241030
62211124520
7406513140
oct132773140
948784603
1023852640
1112511929
127ba3740
134c31bb6
14324c920
1521626b0
hex16bf660

23852640 has 192 divisors, whose sum is σ = 89026560. Its totient is φ = 5253120.

The previous prime is 23852639. The next prime is 23852651. The reversal of 23852640 is 4625832.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23852598 and 23852607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104046 + ... + 104274.

It is an arithmetic number, because the mean of its divisors is an integer number (463680).

Almost surely, 223852640 is an apocalyptic number.

23852640 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 23852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44513280).

23852640 is an abundant number, since it is smaller than the sum of its proper divisors (65173920).

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

23852640 is a wasteful number, since it uses less digits than its factorization.

23852640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 23852640 is about 4883.9164612020. The cubic root of 23852640 is about 287.8583408271.

The spelling of 23852640 in words is "twenty-three million, eight hundred fifty-two thousand, six hundred forty".