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11985444 = 22325772
BaseRepresentation
bin101101101110…
…001000100100
3211112220221100
4231232020210
511032013234
61104520100
7203605662
oct55561044
924486840
1011985444
116846929
124020030
1326384a3
14183dc32
1510bb399
hexb6e224

11985444 has 27 divisors (see below), whose sum is σ = 30349137. Its totient is φ = 3988224.

The previous prime is 11985427. The next prime is 11985451. The reversal of 11985444 is 44458911.

The square root of 11985444 is 3462.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11902500 + 82944 = 3450^2 + 288^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11985399 and 11985408.

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 8 ways as a sum of consecutive naturals, for example, 20484 + ... + 21060.

Almost surely, 211985444 is an apocalyptic number.

11985444 is the 3462-nd square number.

It is an amenable number.

11985444 is an abundant number, since it is smaller than the sum of its proper divisors (18363693).

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

11985444 is an equidigital number, since it uses as much as digits as its factorization.

11985444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 582 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The cubic root of 11985444 is about 228.8502418315.

Multiplying 11985444 by its sum of digits (36), we get a square (431475984 = 207722).

11985444 divided by its sum of digits (36) gives a square (332929 = 5772).

The spelling of 11985444 in words is "eleven million, nine hundred eighty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 577 1154 1731 2308 3462 5193 6924 10386 20772 332929 665858 998787 1331716 1997574 2996361 3995148 5992722 11985444