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20024120520 = 23325197937057
BaseRepresentation
bin10010101001100001…
…111101010011001000
31220200111220201101100
4102221201331103020
5312002133324040
613110550221400
71306134134055
oct225141752310
956614821340
1020024120520
118546104138
123a6a054860
131b716a1731
14d7d5a402c
157c2e32b30
hex4a987d4c8

20024120520 has 192 divisors, whose sum is σ = 69372576000. Its totient is φ = 4994555904.

The previous prime is 20024120483. The next prime is 20024120561. The reversal of 20024120520 is 2502142002.

20024120520 is a `hidden beast` number, since 2 + 0 + 0 + 24 + 120 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20024120493 and 20024120502.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521832 + ... + 558888.

It is an arithmetic number, because the mean of its divisors is an integer number (361315500).

Almost surely, 220024120520 is an apocalyptic number.

20024120520 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 20024120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34686288000).

20024120520 is an abundant number, since it is smaller than the sum of its proper divisors (49348455480).

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

20024120520 is a wasteful number, since it uses less digits than its factorization.

20024120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37172 (or 37165 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 20024120520 its reverse (2502142002), we get a palindrome (22526262522).

The spelling of 20024120520 in words is "twenty billion, twenty-four million, one hundred twenty thousand, five hundred twenty".