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2098999460 = 2253112132791
BaseRepresentation
bin111110100011100…
…0011000010100100
312102021122012221202
41331013003002210
513244320440320
6544140502032
7103005125645
oct17507030244
95367565852
102098999460
119879153a8
124a6b4a918
13275b2a61c
1415caa96cc
15c441ab75
hex7d1c30a4

2098999460 has 48 divisors (see below), whose sum is σ = 4555471872. Its totient is φ = 811555200.

The previous prime is 2098999459. The next prime is 2098999477. The reversal of 2098999460 is 649998902.

It is a junction number, because it is equal to n+sod(n) for n = 2098999396 and 2098999405.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750665 + ... + 753455.

It is an arithmetic number, because the mean of its divisors is an integer number (94905664).

Almost surely, 22098999460 is an apocalyptic number.

2098999460 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 2098999460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277735936).

2098999460 is an abundant number, since it is smaller than the sum of its proper divisors (2456472412).

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

2098999460 is a wasteful number, since it uses less digits than its factorization.

2098999460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 56.

The square root of 2098999460 is about 45814.8388625345. The cubic root of 2098999460 is about 1280.3757563815.

The spelling of 2098999460 in words is "two billion, ninety-eight million, nine hundred ninety-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1213 2426 2791 4852 5582 6065 11164 12130 13955 24260 27910 37603 55820 75206 86521 150412 173042 188015 346084 376030 432605 752060 865210 1730420 3385483 6770966 13541932 16927415 33854830 67709660 104949973 209899946 419799892 524749865 1049499730 2098999460