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10965213 = 34783233
BaseRepresentation
bin101001110101…
…000011011101
3202122002110000
4221311003131
510301341323
61031004513
7162126360
oct51650335
922562400
1010965213
11620a366
123809739
13236bcbc
1416560d7
15e68e43
hexa750dd

10965213 has 40 divisors (see below), whose sum is σ = 19027008. Its totient is φ = 6163776.

The previous prime is 10965211. The next prime is 10965233. The reversal of 10965213 is 31256901.

10965213 is a `hidden beast` number, since 1 + 0 + 9 + 652 + 1 + 3 = 666.

It is not a de Polignac number, because 10965213 - 21 = 10965211 is a prime.

It is a super-2 number, since 2×109652132 = 240471792270738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10965211) 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 39 ways as a sum of consecutive naturals, for example, 46945 + ... + 47177.

Almost surely, 210965213 is an apocalyptic number.

It is an amenable number.

10965213 is a deficient number, since it is larger than the sum of its proper divisors (8061795).

10965213 is an equidigital number, since it uses as much as digits as its factorization.

10965213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10965213 is about 3311.3762999695. The cubic root of 10965213 is about 222.1633202871.

The spelling of 10965213 in words is "ten million, nine hundred sixty-five thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 63 81 83 189 233 249 567 581 699 747 1631 1743 2097 2241 4893 5229 6291 6723 14679 15687 18873 19339 44037 47061 58017 132111 135373 174051 406119 522153 1218357 1566459 3655071 10965213