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10812256 = 257134779
BaseRepresentation
bin101001001111…
…101101100000
3202100022121221
4221033231200
510231443011
61023424424
7160621420
oct51175540
922308557
1010812256
116115454
123755114
1323174b0
141616480
15e38971
hexa4fb60

10812256 has 96 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 4133376.

The previous prime is 10812253. The next prime is 10812257. The reversal of 10812256 is 65221801.

10812256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10812256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10812253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136825 + ... + 136903.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 210812256 is an apocalyptic number.

10812256 is a gapful number since it is divisible by the number (16) 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 10812256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

10812256 is an abundant number, since it is smaller than the sum of its proper divisors (16282784).

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

10812256 is a wasteful number, since it uses less digits than its factorization.

10812256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 10812256 is about 3288.1995073292. The cubic root of 10812256 is about 221.1254721801.

It can be divided in two parts, 1081 and 2256, that multiplied together give a triangular number (2438736 = T2208).

The spelling of 10812256 in words is "ten million, eight hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 52 56 79 91 94 104 112 158 182 188 208 224 316 329 364 376 416 553 611 632 658 728 752 1027 1106 1222 1264 1316 1456 1504 2054 2212 2444 2528 2632 2912 3713 4108 4277 4424 4888 5264 7189 7426 8216 8554 8848 9776 10528 14378 14852 16432 17108 17696 19552 25991 28756 29704 32864 34216 48269 51982 57512 59408 68432 96538 103964 115024 118816 136864 193076 207928 230048 337883 386152 415856 675766 772304 831712 1351532 1544608 2703064 5406128 10812256