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10938256 = 247127769
BaseRepresentation
bin101001101110…
…011110010000
3202120201110121
4221232132100
510300011011
61030240024
7161654650
oct51563620
922521417
1010938256
1161a108a
1237b6014
13235c954
14164a360
15e60e71
hexa6e790

10938256 has 40 divisors (see below), whose sum is σ = 24442880. Its totient is φ = 4644864.

The previous prime is 10938253. The next prime is 10938341. The reversal of 10938256 is 65283901.

10938256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10938251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13840 + ... + 14608.

It is an arithmetic number, because the mean of its divisors is an integer number (611072).

Almost surely, 210938256 is an apocalyptic number.

10938256 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 10938256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221440).

10938256 is an abundant number, since it is smaller than the sum of its proper divisors (13504624).

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

10938256 is a wasteful number, since it uses less digits than its factorization.

10938256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 10938256 is about 3307.3034333124. The cubic root of 10938256 is about 221.9811146449.

The spelling of 10938256 in words is "ten million, nine hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 769 889 1016 1538 1778 2032 3076 3556 5383 6152 7112 10766 12304 14224 21532 43064 86128 97663 195326 390652 683641 781304 1367282 1562608 2734564 5469128 10938256