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10938096 = 2432135843
BaseRepresentation
bin101001101110…
…011011110000
3202120201020200
4221232123300
510300004341
61030235200
7161654331
oct51563360
922521220
1010938096
1161a0a54
1237b5b00
13235c860
14164a288
15e60db6
hexa6e6f0

10938096 has 60 divisors (see below), whose sum is σ = 32971848. Its totient is φ = 3364992.

The previous prime is 10938023. The next prime is 10938119. The reversal of 10938096 is 69083901.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10938096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1050 + ... + 4793.

Almost surely, 210938096 is an apocalyptic number.

10938096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10938096 is an abundant number, since it is smaller than the sum of its proper divisors (22033752).

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

10938096 is a wasteful number, since it uses less digits than its factorization.

10938096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10938096 is about 3307.2792443336. The cubic root of 10938096 is about 221.9800322922.

The spelling of 10938096 in words is "ten million, nine hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 5843 11686 17529 23372 35058 46744 52587 70116 75959 93488 105174 140232 151918 210348 227877 280464 303836 420696 455754 607672 683631 841392 911508 1215344 1367262 1823016 2734524 3646032 5469048 10938096