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23892480 = 293251761
BaseRepresentation
bin101101100100…
…1001000000000
31122221212022200
41123021020000
522104024410
62212033200
7410040243
oct133111000
948855280
1023892480
1112539857
128002800
134c47081
14325d25a
15216e3c0
hex16c9200

23892480 has 240 divisors, whose sum is σ = 89050104. Its totient is φ = 5898240.

The previous prime is 23892437. The next prime is 23892487. The reversal of 23892480 is 8429832.

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 8020224 = 3984^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23892487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391650 + ... + 391710.

Almost surely, 223892480 is an apocalyptic number.

23892480 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 23892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44525052).

23892480 is an abundant number, since it is smaller than the sum of its proper divisors (65157624).

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

23892480 is a wasteful number, since it uses less digits than its factorization.

23892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 23892480 is about 4887.9934533508. The cubic root of 23892480 is about 288.0185173279.

The spelling of 23892480 in words is "twenty-three million, eight hundred ninety-two thousand, four hundred eighty".