Search a number
-
+
20239761600 = 26355252057
BaseRepresentation
bin10010110110011000…
…100100000011000000
31221020112200102100000
4102312120210003000
5312422334332400
613144212200000
71314363064212
oct226630440300
957215612300
1020239761600
1186468aa503
123b0a309000
131ba72740c6
14da00985b2
157d6d2b600
hex4b66240c0

20239761600 has 252 divisors, whose sum is σ = 74602653944. Its totient is φ = 5397166080.

The previous prime is 20239761551. The next prime is 20239761617. The reversal of 20239761600 is 616793202.

20239761600 is a `hidden beast` number, since 2 + 0 + 2 + 39 + 7 + 616 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 362772 + ... + 414828.

Almost surely, 220239761600 is an apocalyptic number.

20239761600 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 20239761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37301326972).

20239761600 is an abundant number, since it is smaller than the sum of its proper divisors (54362892344).

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

20239761600 is an equidigital number, since it uses as much as digits as its factorization.

20239761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52094 (or 52067 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 20239761600 in words is "twenty billion, two hundred thirty-nine million, seven hundred sixty-one thousand, six hundred".