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23790480 = 243573172
BaseRepresentation
bin101101011000…
…0001110010000
31122202200101220
41122300032100
522042243410
62205525040
7406134000
oct132601620
948680356
1023790480
111247a15a
127b73780
134c0c80c
143234000
15214e070
hex16b0390

23790480 has 240 divisors, whose sum is σ = 91363200. Its totient is φ = 5117952.

The previous prime is 23790479. The next prime is 23790491. The reversal of 23790480 is 8409732.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1399432 + ... + 1399448.

It is an arithmetic number, because the mean of its divisors is an integer number (380680).

Almost surely, 223790480 is an apocalyptic number.

23790480 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 23790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45681600).

23790480 is an abundant number, since it is smaller than the sum of its proper divisors (67572720).

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

23790480 is a wasteful number, since it uses less digits than its factorization.

23790480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 23790480 is about 4877.5485645968. The cubic root of 23790480 is about 287.6080702727.

The spelling of 23790480 in words is "twenty-three million, seven hundred ninety thousand, four hundred eighty".