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2768256 = 273589
BaseRepresentation
bin1010100011110110000000
312012122100000
422203312000
51202041011
6135200000
732346501
oct12436600
95178300
102768256
111620917
12b16000
1375c02a
14520ba8
1539a356
hex2a3d80

2768256 has 96 divisors (see below), whose sum is σ = 8353800. Its totient is φ = 912384.

The previous prime is 2768251. The next prime is 2768261. The reversal of 2768256 is 6528672.

It is an interprime number because it is at equal distance from previous prime (2768251) and next prime (2768261).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a d-powerful number, because it can be written as 210 + 77 + 64 + 8 + 218 + 54 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 2768256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2768251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31060 + ... + 31148.

22768256 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 2768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176900).

2768256 is an abundant number, since it is smaller than the sum of its proper divisors (5585544).

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

2768256 is an frugal number, since it uses more digits than its factorization.

2768256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2768256 is about 1663.8076811940. The cubic root of 2768256 is about 140.4113074391.

The spelling of 2768256 in words is "two million, seven hundred sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 128 144 162 178 192 216 243 267 288 324 356 384 432 486 534 576 648 712 801 864 972 1068 1152 1296 1424 1602 1728 1944 2136 2403 2592 2848 3204 3456 3888 4272 4806 5184 5696 6408 7209 7776 8544 9612 10368 11392 12816 14418 15552 17088 19224 21627 25632 28836 31104 34176 38448 43254 51264 57672 76896 86508 102528 115344 153792 173016 230688 307584 346032 461376 692064 922752 1384128 2768256