Search a number
-
+
23728046580 = 22335779181439
BaseRepresentation
bin10110000110010011…
…010100000111110100
32021020122111122202000
4112012103110013310
5342043334442310
614522302215300
71500001032240
oct260623240764
967218448660
1023728046580
11a076955657
124722584530
132311b6b364
141211487420
1593d1c24c0
hex5864d41f4

23728046580 has 384 divisors, whose sum is σ = 86102016000. Its totient is φ = 5313185280.

The previous prime is 23728046549. The next prime is 23728046581. The reversal of 23728046580 is 8564082732.

23728046580 is a `hidden beast` number, since 2 + 3 + 7 + 28 + 0 + 46 + 580 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23728046581) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54050001 + ... + 54050439.

It is an arithmetic number, because the mean of its divisors is an integer number (224224000).

Almost surely, 223728046580 is an apocalyptic number.

23728046580 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 23728046580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43051008000).

23728046580 is an abundant number, since it is smaller than the sum of its proper divisors (62373969420).

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

23728046580 is a wasteful number, since it uses less digits than its factorization.

23728046580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 23728046580 in words is "twenty-three billion, seven hundred twenty-eight million, forty-six thousand, five hundred eighty".