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1314108680 = 2352310211399
BaseRepresentation
bin100111001010011…
…1011010100001000
310101120201122012212
41032110323110020
510142402434210
6334221524252
744364511433
oct11624732410
93346648185
101314108680
11614864335
12308113688
1317c337a01
14c675481a
157a57a805
hex4e53b508

1314108680 has 64 divisors (see below), whose sum is σ = 3090528000. Its totient is φ = 501937920.

The previous prime is 1314108667. The next prime is 1314108701. The reversal of 1314108680 is 868014131.

It is a happy number.

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, 938621 + ... + 940019.

It is an arithmetic number, because the mean of its divisors is an integer number (48289500).

Almost surely, 21314108680 is an apocalyptic number.

1314108680 is a gapful number since it is divisible by the number (10) 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 1314108680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545264000).

1314108680 is an abundant number, since it is smaller than the sum of its proper divisors (1776419320).

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

1314108680 is a wasteful number, since it uses less digits than its factorization.

1314108680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2450 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 1314108680 is about 36250.6369599211. The cubic root of 1314108680 is about 1095.3269194766.

The spelling of 1314108680 in words is "one billion, three hundred fourteen million, one hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 1021 1399 2042 2798 4084 5105 5596 6995 8168 10210 11192 13990 20420 23483 27980 32177 40840 46966 55960 64354 93932 117415 128708 160885 187864 234830 257416 321770 469660 643540 939320 1287080 1428379 2856758 5713516 7141895 11427032 14283790 28567580 32852717 57135160 65705434 131410868 164263585 262821736 328527170 657054340 1314108680