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23968480 = 255149803
BaseRepresentation
bin101101101101…
…1101011100000
31200002201120111
41123123223200
522113442410
62213421104
7410504644
oct133335340
950081514
1023968480
1112590968
12803a794
134c72843
14327cc24
152186b8a
hex16dbae0

23968480 has 24 divisors (see below), whose sum is σ = 56625912. Its totient is φ = 9587328.

The previous prime is 23968429. The next prime is 23968493. The reversal of 23968480 is 8486932.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74742 + ... + 75061.

It is an arithmetic number, because the mean of its divisors is an integer number (2359413).

Almost surely, 223968480 is an apocalyptic number.

23968480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23968480 is an abundant number, since it is smaller than the sum of its proper divisors (32657432).

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

23968480 is a wasteful number, since it uses less digits than its factorization.

23968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149818 (or 149810 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 23968480 is about 4895.7614320961. The cubic root of 23968480 is about 288.3235817775.

The spelling of 23968480 in words is "twenty-three million, nine hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 149803 299606 599212 749015 1198424 1498030 2396848 2996060 4793696 5992120 11984240 23968480