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1117982580 = 22351113229569
BaseRepresentation
bin100001010100011…
…0000111101110100
32212220200101210020
41002220300331310
54242200420310
6302534125140
736463460301
oct10250607564
92786611706
101117982580
11524087950
122724b07b0
1314a808a70
14a86a00a8
1568239170
hex42a30f74

1117982580 has 192 divisors, whose sum is σ = 3700166400. Its totient is φ = 248647680.

The previous prime is 1117982557. The next prime is 1117982581. The reversal of 1117982580 is 852897111.

1117982580 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1117982581) 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, 1964536 + ... + 1965104.

It is an arithmetic number, because the mean of its divisors is an integer number (19271700).

Almost surely, 21117982580 is an apocalyptic number.

1117982580 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 1117982580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850083200).

1117982580 is an abundant number, since it is smaller than the sum of its proper divisors (2582183820).

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

1117982580 is a wasteful number, since it uses less digits than its factorization.

1117982580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 42.

The square root of 1117982580 is about 33436.2464998690. The cubic root of 1117982580 is about 1037.8749074271.

The spelling of 1117982580 in words is "one billion, one hundred seventeen million, nine hundred eighty-two thousand, five hundred eighty".