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10991016 = 2332293521
BaseRepresentation
bin101001111011…
…010110101000
3202200101211200
4221323112220
510303203031
61031324200
7162264531
oct51732650
922611750
1010991016
116227793
123820660
13237a97a
141661688
15e718e6
hexa7b5a8

10991016 has 48 divisors (see below), whose sum is σ = 29926260. Its totient is φ = 3644160.

The previous prime is 10991011. The next prime is 10991021. The reversal of 10991016 is 61019901.

10991016 is a nontrivial binomial coefficient, being equal to C(4689, 2).

It is an interprime number because it is at equal distance from previous prime (10991011) and next prime (10991021).

It can be written as a sum of positive squares in 2 ways, for example, as 10692900 + 298116 = 3270^2 + 546^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10991011) by changing a digit.

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, 20836 + ... + 21356.

Almost surely, 210991016 is an apocalyptic number.

10991016 is the 4688-th triangular number.

It is an amenable number.

10991016 is an abundant number, since it is smaller than the sum of its proper divisors (18935244).

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

10991016 is a wasteful number, since it uses less digits than its factorization.

10991016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 10991016 is about 3315.2701247410. The cubic root of 10991016 is about 222.3374463931.

It can be divided in two parts, 109 and 91016, that added together give a cube (91125 = 453).

The spelling of 10991016 in words is "ten million, nine hundred ninety-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 521 586 879 1042 1172 1563 1758 2084 2344 2637 3126 3516 4168 4689 5274 6252 7032 9378 10548 12504 18756 21096 37512 152653 305306 457959 610612 915918 1221224 1373877 1831836 2747754 3663672 5495508 10991016