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2114643260 = 2251715141189
BaseRepresentation
bin111111000001010…
…1110010100111100
312110101002000012202
41332002232110330
513312322041020
6545500051032
7103255112462
oct17602562474
95411060182
102114643260
1199572a864
124b0233a78
13279147002
14160bbc832
15c59aae75
hex7e0ae53c

2114643260 has 48 divisors (see below), whose sum is σ = 4733225280. Its totient is φ = 790809600.

The previous prime is 2114643239. The next prime is 2114643319. The reversal of 2114643260 is 623464112.

It is a super-2 number, since 2×21146432602 = 8943432234126855200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 30746 + ... + 71934.

It is an arithmetic number, because the mean of its divisors is an integer number (98608860).

Almost surely, 22114643260 is an apocalyptic number.

2114643260 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 2114643260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366612640).

2114643260 is an abundant number, since it is smaller than the sum of its proper divisors (2618582020).

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

2114643260 is a wasteful number, since it uses less digits than its factorization.

2114643260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41366 (or 41364 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 2114643260 is about 45985.2504614251. The cubic root of 2114643260 is about 1283.5487580491.

The spelling of 2114643260 in words is "two billion, one hundred fourteen million, six hundred forty-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 151 170 302 340 604 755 1510 2567 3020 5134 10268 12835 25670 41189 51340 82378 164756 205945 411890 700213 823780 1400426 2800852 3501065 6219539 7002130 12439078 14004260 24878156 31097695 62195390 105732163 124390780 211464326 422928652 528660815 1057321630 2114643260