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1117072 = 24112577
BaseRepresentation
bin100010000101110010000
32002202100001
410100232100
5241221242
635535344
712331525
oct4205620
92082301
101117072
116a3300
1245a554
133015b8
1421114c
15170eb7
hex110b90

1117072 has 30 divisors (see below), whose sum is σ = 2383094. Its totient is φ = 506880.

The previous prime is 1117069. The next prime is 1117073. The reversal of 1117072 is 2707111.

It can be written as a sum of positive squares in only one way, i.e., 1115136 + 1936 = 1056^2 + 44^2 .

It is not an unprimeable number, because it can be changed into a prime (1117073) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1648 + ... + 2224.

21117072 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 1117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191547).

1117072 is an abundant number, since it is smaller than the sum of its proper divisors (1266022).

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

1117072 is a wasteful number, since it uses less digits than its factorization.

1117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 1117072 is about 1056.9162691529. The cubic root of 1117072 is about 103.7593053056.

The spelling of 1117072 in words is "one million, one hundred seventeen thousand, seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 577 968 1154 1936 2308 4616 6347 9232 12694 25388 50776 69817 101552 139634 279268 558536 1117072