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116141184 = 2732181557
BaseRepresentation
bin1101110110000…
…10110010000000
322002112120202100
412323002302000
5214213004214
615305150400
72610120015
oct673026200
9262476670
10116141184
115a616655
1232a8b400
131b0a56c3
14115d370c
15a2e2309
hex6ec2c80

116141184 has 96 divisors (see below), whose sum is σ = 336658140. Its totient is φ = 38430720.

The previous prime is 116141177. The next prime is 116141189. The reversal of 116141184 is 481141611.

It can be written as a sum of positive squares in 2 ways, for example, as 81000000 + 35141184 = 9000^2 + 5928^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (116141189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208234 + ... + 208790.

Almost surely, 2116141184 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 116141184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168329070).

116141184 is an abundant number, since it is smaller than the sum of its proper divisors (220516956).

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

116141184 is a wasteful number, since it uses less digits than its factorization.

116141184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 743 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 116141184 is about 10776.8819238219. The cubic root of 116141184 is about 487.8976762978.

Adding to 116141184 its reverse (481141611), we get a palindrome (597282795).

The spelling of 116141184 in words is "one hundred sixteen million, one hundred forty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 181 192 288 362 384 543 557 576 724 1086 1114 1152 1448 1629 1671 2172 2228 2896 3258 3342 4344 4456 5013 5792 6516 6684 8688 8912 10026 11584 13032 13368 17376 17824 20052 23168 26064 26736 34752 35648 40104 52128 53472 69504 71296 80208 100817 104256 106944 160416 201634 208512 213888 302451 320832 403268 604902 641664 806536 907353 1209804 1613072 1814706 2419608 3226144 3629412 4839216 6452288 7258824 9678432 12904576 14517648 19356864 29035296 38713728 58070592 116141184