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2098427760 = 24325111389229
BaseRepresentation
bin111110100010011…
…0111011101110000
312102020120011201200
41331010313131300
513244144142020
6544120331200
7103000225122
oct17504673560
95366504650
102098427760
11987564920
124a6913b00
1327598a340
1415c99b212
15c4356590
hex7d137770

2098427760 has 480 divisors, whose sum is σ = 8408836800. Its totient is φ = 462274560.

The previous prime is 2098427711. The next prime is 2098427761. The reversal of 2098427760 is 677248902.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2098427761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9163326 + ... + 9163554.

It is an arithmetic number, because the mean of its divisors is an integer number (17518410).

Almost surely, 22098427760 is an apocalyptic number.

2098427760 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 2098427760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204418400).

2098427760 is an abundant number, since it is smaller than the sum of its proper divisors (6310409040).

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

2098427760 is a wasteful number, since it uses less digits than its factorization.

2098427760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2098427760 is about 45808.5991927280. The cubic root of 2098427760 is about 1280.2595014228.

The spelling of 2098427760 in words is "two billion, ninety-eight million, four hundred twenty-seven thousand, seven hundred sixty".