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2098902960 = 24325711172131
BaseRepresentation
bin111110100011010…
…1011011110110000
312102021110022120200
41331012223132300
513244304343320
6544134435200
7103004244420
oct17506533660
95367408520
102098902960
11987859950
124a6b02b00
13275ac571b
1415ca82480
15c43ec290
hex7d1ab7b0

2098902960 has 720 divisors, whose sum is σ = 9406755072. Its totient is φ = 407347200.

The previous prime is 2098902941. The next prime is 2098902961. The reversal of 2098902960 is 692098902.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2098902961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16022095 + ... + 16022225.

Almost surely, 22098902960 is an apocalyptic number.

2098902960 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 2098902960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703377536).

2098902960 is an abundant number, since it is smaller than the sum of its proper divisors (7307852112).

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

2098902960 is a wasteful number, since it uses less digits than its factorization.

2098902960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2098902960 is about 45813.7856981935. The cubic root of 2098902960 is about 1280.3561346274.

The spelling of 2098902960 in words is "two billion, ninety-eight million, nine hundred two thousand, nine hundred sixty".