Search a number
-
+
10966932 = 2232312317
BaseRepresentation
bin101001110101…
…011110010100
3202122011210200
4221311132110
510301420212
61031020500
7162134364
oct51653624
922564720
1010966932
116210689
12380a730
13236ca12
1416569a4
15e696dc
hexa75794

10966932 has 54 divisors (see below), whose sum is σ = 28735434. Its totient is φ = 3526560.

The previous prime is 10966913. The next prime is 10966937. The reversal of 10966932 is 23966901.

It can be written as a sum of positive squares in only one way, i.e., 6780816 + 4186116 = 2604^2 + 2046^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10966937) 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 17 ways as a sum of consecutive naturals, for example, 34438 + ... + 34754.

Almost surely, 210966932 is an apocalyptic number.

10966932 is a gapful number since it is divisible by the number (12) 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 10966932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367717).

10966932 is an abundant number, since it is smaller than the sum of its proper divisors (17768502).

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

10966932 is a wasteful number, since it uses less digits than its factorization.

10966932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 10966932 is about 3311.6358495463. The cubic root of 10966932 is about 222.1749290840.

The spelling of 10966932 in words is "ten million, nine hundred sixty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 317 372 558 634 951 961 1116 1268 1902 1922 2853 2883 3804 3844 5706 5766 8649 9827 11412 11532 17298 19654 29481 34596 39308 58962 88443 117924 176886 304637 353772 609274 913911 1218548 1827822 2741733 3655644 5483466 10966932