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10644256 = 257194161
BaseRepresentation
bin101000100110…
…101100100000
3202000210011201
4220212230200
510211104011
61020050544
7156321550
oct50465440
922023151
1010644256
116010207
123693a54
132288b9c
1415b1160
15e03cc1
hexa26b20

10644256 has 96 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 4147200.

The previous prime is 10644233. The next prime is 10644269. The reversal of 10644256 is 65244601.

It is a super-2 number, since 2×106442562 = 226600371587072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174466 + ... + 174526.

It is an arithmetic number, because the mean of its divisors is an integer number (273420).

Almost surely, 210644256 is an apocalyptic number.

10644256 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 10644256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

10644256 is an abundant number, since it is smaller than the sum of its proper divisors (15604064).

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

10644256 is a wasteful number, since it uses less digits than its factorization.

10644256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 10644256 is about 3262.5536010922. The cubic root of 10644256 is about 219.9742118533.

Adding to 10644256 its reverse (65244601), we get a palindrome (75888857).

It can be divided in two parts, 1064 and 4256, that multiplied together give a square (4528384 = 21282).

The spelling of 10644256 in words is "ten million, six hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 61 76 82 112 122 133 152 164 224 244 266 287 304 328 427 488 532 574 608 656 779 854 976 1064 1148 1159 1312 1558 1708 1952 2128 2296 2318 2501 3116 3416 4256 4592 4636 5002 5453 6232 6832 8113 9184 9272 10004 10906 12464 13664 16226 17507 18544 20008 21812 24928 32452 35014 37088 40016 43624 47519 64904 70028 80032 87248 95038 129808 140056 174496 190076 259616 280112 332633 380152 560224 665266 760304 1330532 1520608 2661064 5322128 10644256