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23488080 = 24357113141
BaseRepresentation
bin101100110011…
…0011001010000
31122012022120220
41121212121100
522003104310
62155233040
7403434240
oct131463120
948168526
1023488080
1112292a40
127a48780
134b34c95
143195b20
1520de670
hex1666650

23488080 has 320 divisors, whose sum is σ = 95993856. Its totient is φ = 4608000.

The previous prime is 23488061. The next prime is 23488093. The reversal of 23488080 is 8088432.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 572860 + ... + 572900.

Almost surely, 223488080 is an apocalyptic number.

23488080 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 23488080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47996928).

23488080 is an abundant number, since it is smaller than the sum of its proper divisors (72505776).

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

23488080 is a wasteful number, since it uses less digits than its factorization.

23488080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 23488080 is about 4846.4502473460. The cubic root of 23488080 is about 286.3842781337.

The spelling of 23488080 in words is "twenty-three million, four hundred eighty-eight thousand, eighty".