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116140584 = 23372611619
BaseRepresentation
bin1101110110000…
…10101000101000
322002112112221010
412323002220220
5214212444314
615305143520
72610115200
oct673025050
9262475833
10116140584
115a61615a
1232a8aba0
131b0a5351
14115d3400
15a2e2059
hex6ec2a28

116140584 has 96 divisors (see below), whose sum is σ = 343504800. Its totient is φ = 32618880.

The previous prime is 116140571. The next prime is 116140603. The reversal of 116140584 is 485041611.

It is a super-2 number, since 2×1161405842 = 26977270503722112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70927 + ... + 72545.

It is an arithmetic number, because the mean of its divisors is an integer number (3578175).

Almost surely, 2116140584 is an apocalyptic number.

116140584 is a gapful number since it is divisible by the number (14) 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 116140584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171752400).

116140584 is an abundant number, since it is smaller than the sum of its proper divisors (227364216).

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

116140584 is a wasteful number, since it uses less digits than its factorization.

116140584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 116140584 is about 10776.8540864206. The cubic root of 116140584 is about 487.8968361160.

The spelling of 116140584 in words is "one hundred sixteen million, one hundred forty thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 61 84 98 122 147 168 183 196 244 294 366 392 427 488 588 732 854 1176 1281 1464 1619 1708 2562 2989 3238 3416 4857 5124 5978 6476 8967 9714 10248 11333 11956 12952 17934 19428 22666 23912 33999 35868 38856 45332 67998 71736 79331 90664 98759 135996 158662 197518 237993 271992 296277 317324 395036 475986 592554 634648 691313 790072 951972 1185108 1382626 1903944 2073939 2370216 2765252 4147878 4839191 5530504 8295756 9678382 14517573 16591512 19356764 29035146 38713528 58070292 116140584