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2139198600 = 23352711192437
BaseRepresentation
bin111111110000001…
…1001010010001000
312112002021112210210
41333200121102020
513340113323400
6552134241120
7104003613420
oct17740312210
95462245723
102139198600
119a8581630
124b84b61a0
132812639b6
14164171480
15c7c0b950
hex7f819488

2139198600 has 384 divisors, whose sum is σ = 8706585600. Its totient is φ = 420940800.

The previous prime is 2139198583. The next prime is 2139198647. The reversal of 2139198600 is 68919312.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 876582 + ... + 879018.

It is an arithmetic number, because the mean of its divisors is an integer number (22673400).

Almost surely, 22139198600 is an apocalyptic number.

2139198600 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 2139198600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353292800).

2139198600 is an abundant number, since it is smaller than the sum of its proper divisors (6567387000).

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

2139198600 is a wasteful number, since it uses less digits than its factorization.

2139198600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2493 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 2139198600 is about 46251.4713279480. The cubic root of 2139198600 is about 1288.4978609132.

The spelling of 2139198600 in words is "two billion, one hundred thirty-nine million, one hundred ninety-eight thousand, six hundred".