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10630256 = 247313149
BaseRepresentation
bin101000100011…
…010001110000
3202000001222012
4220203101300
510210132011
61015502052
7156233000
oct50432160
922001865
1010630256
11600073a
123687928
1322826c0
1415aa000
15deea8b
hexa23470

10630256 has 80 divisors (see below), whose sum is σ = 26040000. Its totient is φ = 4177152.

The previous prime is 10630237. The next prime is 10630259. The reversal of 10630256 is 65203601.

It is a super-2 number, since 2×106302562 = 226004685251072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10630259) 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, 71270 + ... + 71418.

It is an arithmetic number, because the mean of its divisors is an integer number (325500).

Almost surely, 210630256 is an apocalyptic number.

10630256 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 10630256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020000).

10630256 is an abundant number, since it is smaller than the sum of its proper divisors (15409744).

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

10630256 is a wasteful number, since it uses less digits than its factorization.

10630256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 10630256 is about 3260.4073365149. The cubic root of 10630256 is about 219.8777281995.

Adding to 10630256 its reverse (65203601), we get a palindrome (75833857).

The spelling of 10630256 in words is "ten million, six hundred thirty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 149 182 196 208 298 343 364 392 596 637 686 728 784 1043 1192 1274 1372 1456 1937 2086 2384 2548 2744 3874 4172 4459 5096 5488 7301 7748 8344 8918 10192 13559 14602 15496 16688 17836 27118 29204 30992 35672 51107 54236 58408 71344 94913 102214 108472 116816 189826 204428 216944 379652 408856 664391 759304 817712 1328782 1518608 2657564 5315128 10630256