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23712480 = 2533511499
BaseRepresentation
bin101101001110…
…1001011100000
31122121201102000
41122131023200
522032244410
62204124000
7405360411
oct132351340
948551360
1023712480
11124265a0
127b36600
134bb316c
143213808
152135dc0
hex169d2e0

23712480 has 192 divisors, whose sum is σ = 90720000. Its totient is φ = 5736960.

The previous prime is 23712463. The next prime is 23712499. The reversal of 23712480 is 8421732.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 47271 + ... + 47769.

It is an arithmetic number, because the mean of its divisors is an integer number (472500).

Almost surely, 223712480 is an apocalyptic number.

23712480 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 23712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360000).

23712480 is an abundant number, since it is smaller than the sum of its proper divisors (67007520).

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

23712480 is a wasteful number, since it uses less digits than its factorization.

23712480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 23712480 is about 4869.5461800870. The cubic root of 23712480 is about 287.2934067161.

It can be divided in two parts, 2371 and 2480, that added together give a triangular number (4851 = T98).

The spelling of 23712480 in words is "twenty-three million, seven hundred twelve thousand, four hundred eighty".