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10931312 = 247273191
BaseRepresentation
bin101001101100…
…110001110000
3202120100221102
4221230301300
510244300222
61030143532
7161625500
oct51546160
922510842
1010931312
116196947
1237b1ba8
132359742
141647a00
15e5dd92
hexa6cc70

10931312 has 60 divisors (see below), whose sum is σ = 25105536. Its totient is φ = 4596480.

The previous prime is 10931311. The next prime is 10931321. The reversal of 10931312 is 21313901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10931311) 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 11 ways as a sum of consecutive naturals, for example, 57137 + ... + 57327.

Almost surely, 210931312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10931312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552768).

10931312 is an abundant number, since it is smaller than the sum of its proper divisors (14174224).

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

10931312 is a wasteful number, since it uses less digits than its factorization.

10931312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 10931312 is about 3306.2534688073. The cubic root of 10931312 is about 221.9341308246.

The spelling of 10931312 in words is "ten million, nine hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 191 196 292 382 392 511 584 764 784 1022 1168 1337 1528 2044 2674 3056 3577 4088 5348 7154 8176 9359 10696 13943 14308 18718 21392 27886 28616 37436 55772 57232 74872 97601 111544 149744 195202 223088 390404 683207 780808 1366414 1561616 2732828 5465656 10931312