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23790841920 = 2632514955441
BaseRepresentation
bin10110001010000010…
…110111000001000000
32021102000122222202100
4112022002313001000
5342210423420140
614532424150400
71501362551106
oct261202670100
967360588670
1023790841920
11a0a934572a
12473b608400
132321b86771
141219951c76
15943978530
hex58a0b7040

23790841920 has 168 divisors, whose sum is σ = 82381267800. Its totient is φ = 6301532160.

The previous prime is 23790841909. The next prime is 23790841927. The reversal of 23790841920 is 2914809732.

It can be written as a sum of positive squares in 4 ways, for example, as 138862656 + 23651979264 = 11784^2 + 153792^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23790841927) 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, 401400 + ... + 456840.

Almost surely, 223790841920 is an apocalyptic number.

23790841920 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 23790841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41190633900).

23790841920 is an abundant number, since it is smaller than the sum of its proper divisors (58590425880).

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

23790841920 is a wasteful number, since it uses less digits than its factorization.

23790841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55613 (or 55600 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 23790841920 in words is "twenty-three billion, seven hundred ninety million, eight hundred forty-one thousand, nine hundred twenty".