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23680820280 = 23351347714549
BaseRepresentation
bin10110000011011111…
…001010010000111000
32021010100122022102210
4112003133022100320
5341444242222110
614513454055120
71465555436235
oct260337122070
967110568383
1023680820280
11a052229857
12470a7aa4a0
1323051445c0
1412090b278c
15938e94520
hex5837ca438

23680820280 has 256 divisors, whose sum is σ = 79252992000. Its totient is φ = 5623511040.

The previous prime is 23680820279. The next prime is 23680820281. The reversal of 23680820280 is 8202808632.

It is an interprime number because it is at equal distance from previous prime (23680820279) and next prime (23680820281).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23680820281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5203446 + ... + 5207994.

It is an arithmetic number, because the mean of its divisors is an integer number (309582000).

Almost surely, 223680820280 is an apocalyptic number.

23680820280 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 23680820280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39626496000).

23680820280 is an abundant number, since it is smaller than the sum of its proper divisors (55572171720).

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

23680820280 is a wasteful number, since it uses less digits than its factorization.

23680820280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 23680820280 in words is "twenty-three billion, six hundred eighty million, eight hundred twenty thousand, two hundred eighty".