Search a number
-
+
2020204032 = 293711192931
BaseRepresentation
bin111100001101001…
…1101111000000000
312012210100222221120
41320122131320000
513114133012112
6532243552240
7101030310450
oct17032357000
95183328846
102020204032
11947397210
1248468b680
132626cc602
14152437d60
15bc553e8c
hex7869de00

2020204032 has 640 divisors, whose sum is σ = 7542374400. Its totient is φ = 464486400.

The previous prime is 2020204031. The next prime is 2020204079. The reversal of 2020204032 is 2304020202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020204031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65167857 + ... + 65167887.

It is an arithmetic number, because the mean of its divisors is an integer number (11784960).

Almost surely, 22020204032 is an apocalyptic number.

2020204032 is a gapful number since it is divisible by the number (22) 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 2020204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771187200).

2020204032 is an abundant number, since it is smaller than the sum of its proper divisors (5522170368).

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

2020204032 is a wasteful number, since it uses less digits than its factorization.

2020204032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2020204032 is about 44946.6798773836. The cubic root of 2020204032 is about 1264.1494241980.

Adding to 2020204032 its reverse (2304020202), we get a palindrome (4324224234).

The spelling of 2020204032 in words is "two billion, twenty million, two hundred four thousand, thirty-two".