Search a number
-
+
20352402720 = 253251317312063
BaseRepresentation
bin10010111101000110…
…010000010100100000
31221112101122011220100
4102331012100110200
5313140203341340
613203314342400
71320231366036
oct227506202440
957471564810
1020352402720
1186a4445441
123b3bb8aa00
131bc46c2660
14db101a556
157e1b7b830
hex4bd190520

20352402720 has 576 divisors, whose sum is σ = 81789087744. Its totient is φ = 4560814080.

The previous prime is 20352402677. The next prime is 20352402727. The reversal of 20352402720 is 2720425302.

20352402720 is a `hidden beast` number, since 2 + 0 + 352 + 40 + 272 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (20352402727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9864409 + ... + 9866471.

It is an arithmetic number, because the mean of its divisors is an integer number (141994944).

Almost surely, 220352402720 is an apocalyptic number.

20352402720 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 20352402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40894543872).

20352402720 is an abundant number, since it is smaller than the sum of its proper divisors (61436685024).

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

20352402720 is a wasteful number, since it uses less digits than its factorization.

20352402720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 20352402720 in words is "twenty billion, three hundred fifty-two million, four hundred two thousand, seven hundred twenty".