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1117664 = 2553659
BaseRepresentation
bin100010000110111100000
32002210010222
410100313200
5241231124
635542212
712333332
oct4206740
92083128
101117664
116a3799
1245a968
13301952
14211452
1517125e
hex110de0

1117664 has 24 divisors (see below), whose sum is σ = 2245320. Its totient is φ = 547456.

The previous prime is 1117661. The next prime is 1117673. The reversal of 1117664 is 4667111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1367 + ... + 2025.

It is an arithmetic number, because the mean of its divisors is an integer number (93555).

21117664 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 1117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122660).

1117664 is an abundant number, since it is smaller than the sum of its proper divisors (1127656).

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

1117664 is an equidigital number, since it uses as much as digits as its factorization.

1117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 1117664 is about 1057.1962920858. The cubic root of 1117664 is about 103.7776313881. Note that the first 3 decimals are identical.

The spelling of 1117664 in words is "one million, one hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 659 848 1318 1696 2636 5272 10544 21088 34927 69854 139708 279416 558832 1117664