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1117986240 = 26357435373
BaseRepresentation
bin100001010100011…
…0001110111000000
32212220200120210210
41002220301313000
54242201024430
6302534154120
736463504050
oct10250616700
92786616723
101117986240
1152408a678
122724b2940
1314a80a627
14a86a1560
156823a2b0
hex42a31dc0

1117986240 has 448 divisors, whose sum is σ = 4287292416. Its totient is φ = 241532928.

The previous prime is 1117986217. The next prime is 1117986241. The reversal of 1117986240 is 426897111.

1117986240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117986241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15314844 + ... + 15314916.

Almost surely, 21117986240 is an apocalyptic number.

1117986240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143646208).

1117986240 is an abundant number, since it is smaller than the sum of its proper divisors (3169306176).

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

1117986240 is a wasteful number, since it uses less digits than its factorization.

1117986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1117986240 is about 33436.3012308479. The cubic root of 1117986240 is about 1037.8760400082.

The spelling of 1117986240 in words is "one billion, one hundred seventeen million, nine hundred eighty-six thousand, two hundred forty".