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2712996 = 223211131731
BaseRepresentation
bin1010010110010110100100
312002211112100
422112112210
51143303441
6134052100
732026416
oct12262644
95084470
102712996
111593350
12aaa030
1373cb30
145089b6
15388cb6
hex2965a4

2712996 has 144 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 691200.

The previous prime is 2712989. The next prime is 2713003. The reversal of 2712996 is 6992172.

It is an interprime number because it is at equal distance from previous prime (2712989) and next prime (2713003).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2712996.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87501 + ... + 87531.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

22712996 is an apocalyptic number.

2712996 is a gapful number since it is divisible by the number (26) 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 2712996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

2712996 is an abundant number, since it is smaller than the sum of its proper divisors (6092892).

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

2712996 is a wasteful number, since it uses less digits than its factorization.

2712996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 77 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 2712996 is about 1647.1174821487. The cubic root of 2712996 is about 139.4707226492.

It can be divided in two parts, 27129 and 96, that added together give a square (27225 = 1652).

The spelling of 2712996 in words is "two million, seven hundred twelve thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 31 33 34 36 39 44 51 52 62 66 68 78 93 99 102 117 124 132 143 153 156 186 187 198 204 221 234 279 286 306 341 372 374 396 403 429 442 468 527 558 561 572 612 663 682 748 806 858 884 1023 1054 1116 1122 1209 1287 1326 1364 1581 1612 1683 1716 1989 2046 2108 2244 2418 2431 2574 2652 3069 3162 3366 3627 3978 4092 4433 4743 4836 4862 5148 5797 6138 6324 6732 6851 7254 7293 7956 8866 9486 9724 11594 12276 13299 13702 14508 14586 17391 17732 18972 20553 21879 23188 26598 27404 29172 34782 39897 41106 43758 52173 53196 61659 69564 75361 79794 82212 87516 104346 123318 150722 159588 208692 226083 246636 301444 452166 678249 904332 1356498 2712996