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2104136140 = 2252327116879
BaseRepresentation
bin111110101101010…
…1001000111001100
312102122022012011011
41331122221013030
513302124324030
6544442535004
7103066601461
oct17532510714
95378265134
102104136140
1198a803697
124a8807464
13276c08692
1415d645668
15c4ad2b2a
hex7d6a91cc

2104136140 has 48 divisors (see below), whose sum is σ = 4628090880. Its totient is φ = 802042560.

The previous prime is 2104136119. The next prime is 2104136141. The reversal of 2104136140 is 416314012.

It is not an unprimeable number, because it can be changed into a prime (2104136141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116221 + ... + 133099.

It is an arithmetic number, because the mean of its divisors is an integer number (96418560).

Almost surely, 22104136140 is an apocalyptic number.

2104136140 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 2104136140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314045440).

2104136140 is an abundant number, since it is smaller than the sum of its proper divisors (2523954740).

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

2104136140 is a wasteful number, since it uses less digits than its factorization.

2104136140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17182 (or 17180 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2104136140 is about 45870.8637372352. The cubic root of 2104136140 is about 1281.4193524627.

The spelling of 2104136140 in words is "two billion, one hundred four million, one hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 271 460 542 1084 1355 2710 5420 6233 12466 16879 24932 31165 33758 62330 67516 84395 124660 168790 337580 388217 776434 1552868 1941085 3882170 4574209 7764340 9148418 18296836 22871045 45742090 91484180 105206807 210413614 420827228 526034035 1052068070 2104136140