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116024064 = 2831311621
BaseRepresentation
bin1101110101001…
…10001100000000
322002022122002120
412322212030000
5214200232224
615302444240
72606121402
oct672461400
9262278076
10116024064
115a546662
1232a33680
131b0642c0
14115a2b72
15a2bc779
hex6ea6300

116024064 has 72 divisors (see below), whose sum is σ = 332575152. Its totient is φ = 35696640.

The previous prime is 116024063. The next prime is 116024081. The reversal of 116024064 is 460420611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (116024063) 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 7 ways as a sum of consecutive naturals, for example, 4174 + ... + 15794.

Almost surely, 2116024064 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 116024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166287576).

116024064 is an abundant number, since it is smaller than the sum of its proper divisors (216551088).

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

116024064 is a wasteful number, since it uses less digits than its factorization.

116024064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11653 (or 11639 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 116024064 is about 10771.4466994921. The cubic root of 116024064 is about 487.7336179431.

Adding to 116024064 its reverse (460420611), we get a palindrome (576444675).

The spelling of 116024064 in words is "one hundred sixteen million, twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 11621 23242 34863 46484 69726 92968 139452 151073 185936 278904 302146 371872 453219 557808 604292 743744 906438 1115616 1208584 1487488 1812876 2231232 2417168 2974976 3625752 4462464 4834336 7251504 8924928 9668672 14503008 19337344 29006016 38674688 58012032 116024064