Search a number
-
+
23630588520 = 23357112298017
BaseRepresentation
bin10110000000011111…
…100010101001101000
32020222212010021102020
4112000133202221220
5341343412313040
614504501304440
71464405455040
oct260037425150
966885107366
1023630588520
11a02693aa00
1246b5a05120
1322c7907876
141202558720
15934870cd0
hex5807e2a68

23630588520 has 384 divisors, whose sum is σ = 92136441600. Its totient is φ = 4740341760.

The previous prime is 23630588483. The next prime is 23630588551. The reversal of 23630588520 is 2588503632.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2943552 + ... + 2951568.

It is an arithmetic number, because the mean of its divisors is an integer number (239938650).

Almost surely, 223630588520 is an apocalyptic number.

23630588520 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 23630588520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46068220800).

23630588520 is an abundant number, since it is smaller than the sum of its proper divisors (68505853080).

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

23630588520 is a wasteful number, since it uses less digits than its factorization.

23630588520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8089 (or 8074 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 23630588520 in words is "twenty-three billion, six hundred thirty million, five hundred eighty-eight thousand, five hundred twenty".