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2690856 = 2332719281
BaseRepresentation
bin1010010000111100101000
312001201011100
422100330220
51142101411
6133401400
731605030
oct12207450
95051140
102690856
111578753
12a99260
13732a2c
145008c0
15382456
hex290f28

2690856 has 96 divisors (see below), whose sum is σ = 8798400. Its totient is φ = 725760.

The previous prime is 2690851. The next prime is 2690887. The reversal of 2690856 is 6580962.

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 2690856.

It is not an unprimeable number, because it can be changed into a prime (2690851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9436 + ... + 9716.

It is an arithmetic number, because the mean of its divisors is an integer number (91650).

22690856 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 2690856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399200).

2690856 is an abundant number, since it is smaller than the sum of its proper divisors (6107544).

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

2690856 is a wasteful number, since it uses less digits than its factorization.

2690856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2690856 is about 1640.3828821345. The cubic root of 2690856 is about 139.0902920761.

The spelling of 2690856 in words is "two million, six hundred ninety thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 281 342 399 456 504 532 562 684 798 843 1064 1124 1197 1368 1596 1686 1967 2248 2394 2529 3192 3372 3934 4788 5058 5339 5901 6744 7868 9576 10116 10678 11802 15736 16017 17703 20232 21356 23604 32034 35406 37373 42712 47208 48051 64068 70812 74746 96102 112119 128136 141624 149492 192204 224238 298984 336357 384408 448476 672714 896952 1345428 2690856