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1106964 = 223297317
BaseRepresentation
bin100001110010000010100
32002020110200
410032100110
5240410324
635420500
712260205
oct4162024
92066420
101106964
11696751
12454730
132c9b11
1420b5ac
1516cec9
hex10e414

1106964 has 36 divisors (see below), whose sum is σ = 2835924. Its totient is φ = 364032.

The previous prime is 1106957. The next prime is 1106977. The reversal of 1106964 is 4696011.

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 864900 = 492^2 + 930^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3334 + ... + 3650.

21106964 is an apocalyptic number.

It is an amenable number.

1106964 is an abundant number, since it is smaller than the sum of its proper divisors (1728960).

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

1106964 is a wasteful number, since it uses less digits than its factorization.

1106964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1106964 is about 1052.1235668875. The cubic root of 1106964 is about 103.4453958279.

The spelling of 1106964 in words is "one million, one hundred six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 317 388 582 634 873 951 1164 1268 1746 1902 2853 3492 3804 5706 11412 30749 61498 92247 122996 184494 276741 368988 553482 1106964