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11321964 = 2233791327
BaseRepresentation
bin101011001100…
…001001101100
3210022012211000
4223030021230
510344300324
61042400300
7165143433
oct53141154
923265730
1011321964
1164333a5
123960090
1324654b4
14170a11a
15ed99c9
hexacc26c

11321964 has 48 divisors (see below), whose sum is σ = 29747200. Its totient is φ = 3723408.

The previous prime is 11321951. The next prime is 11321993. The reversal of 11321964 is 46912311.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7869 + ... + 9195.

Almost surely, 211321964 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 11321964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873600).

11321964 is an abundant number, since it is smaller than the sum of its proper divisors (18425236).

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

11321964 is a wasteful number, since it uses less digits than its factorization.

11321964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1411 counting only the distinct ones).

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

The square root of 11321964 is about 3364.8126247980. The cubic root of 11321964 is about 224.5469996819.

The spelling of 11321964 in words is "eleven million, three hundred twenty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1327 1422 2133 2654 2844 3981 4266 5308 7962 8532 11943 15924 23886 35829 47772 71658 104833 143316 209666 314499 419332 628998 943497 1257996 1886994 2830491 3773988 5660982 11321964