Search a number
-
+
10939264 = 27729421
BaseRepresentation
bin101001101110…
…101110000000
3202120202211221
4221232232000
510300024024
61030244424
7161660620
oct51565600
922522757
1010939264
1161a1916
1237b6714
13236024b
14164a880
15e613e4
hexa6eb80

10939264 has 64 divisors (see below), whose sum is σ = 25826400. Its totient is φ = 4515840.

The previous prime is 10939261. The next prime is 10939267. The reversal of 10939264 is 46293901.

It is an interprime number because it is at equal distance from previous prime (10939261) and next prime (10939267).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10939261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25774 + ... + 26194.

Almost surely, 210939264 is an apocalyptic number.

10939264 is a gapful number since it is divisible by the number (14) 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 10939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12913200).

10939264 is an abundant number, since it is smaller than the sum of its proper divisors (14887136).

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

10939264 is an equidigital number, since it uses as much as digits as its factorization.

10939264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 10939264 is about 3307.4558198107. The cubic root of 10939264 is about 221.9879332239.

The spelling of 10939264 in words is "ten million, nine hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 421 448 464 812 842 896 928 1624 1684 1856 2947 3248 3368 3712 5894 6496 6736 11788 12209 12992 13472 23576 24418 25984 26944 47152 48836 53888 85463 94304 97672 170926 188608 195344 341852 377216 390688 683704 781376 1367408 1562752 2734816 5469632 10939264