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2765130312 = 2337311094871
BaseRepresentation
bin1010010011010000…
…1000101001001000
321010201002011200210
42210310020221020
521130333132222
61134214201120
7125344135260
oct24464105110
97121064623
102765130312
11119993136a
126520531a0
13350b3b8a9
141c33487a0
15112b4cd0c
hexa4d08a48

2765130312 has 128 divisors (see below), whose sum is σ = 8231731200. Its totient is φ = 757382400.

The previous prime is 2765130307. The next prime is 2765130353. The reversal of 2765130312 is 2130315672.

It is a self number, because there is not a number n which added to its sum of digits gives 2765130312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565237 + ... + 570107.

It is an arithmetic number, because the mean of its divisors is an integer number (64310400).

Almost surely, 22765130312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2765130312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115865600).

2765130312 is an abundant number, since it is smaller than the sum of its proper divisors (5466600888).

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

2765130312 is a wasteful number, since it uses less digits than its factorization.

2765130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5023 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2765130312 is about 52584.5063873381. The cubic root of 2765130312 is about 1403.5844055277.

Adding to 2765130312 its reverse (2130315672), we get a palindrome (4895445984).

The spelling of 2765130312 in words is "two billion, seven hundred sixty-five million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 109 124 168 186 217 218 248 327 372 434 436 651 654 744 763 868 872 1302 1308 1526 1736 2289 2604 2616 3052 3379 4578 4871 5208 6104 6758 9156 9742 10137 13516 14613 18312 19484 20274 23653 27032 29226 34097 38968 40548 47306 58452 68194 70959 81096 94612 102291 116904 136388 141918 151001 189224 204582 272776 283836 302002 409164 453003 530939 567672 604004 818328 906006 1057007 1061878 1208008 1592817 1812012 2114014 2123756 3171021 3185634 3624024 3716573 4228028 4247512 6342042 6371268 7433146 8456056 11149719 12684084 12742536 14866292 16459109 22299438 25368168 29732584 32918218 44598876 49377327 65836436 89197752 98754654 115213763 131672872 197509308 230427526 345641289 395018616 460855052 691282578 921710104 1382565156 2765130312