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116036064 = 253489503
BaseRepresentation
bin1101110101010…
…01000111100000
322002100020120000
412322221013200
5214201123224
615303020000
72606201364
oct672510740
9262306500
10116036064
115a554681
1232a3a600
131b0698c1
14115a72a4
15a2c10c9
hex6ea91e0

116036064 has 120 divisors (see below), whose sum is σ = 345779280. Its totient is φ = 38168064.

The previous prime is 116036051. The next prime is 116036071. The reversal of 116036064 is 460630611.

It is a super-2 number, since 2×1160360642 = 26928736297224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230437 + ... + 230939.

It is an arithmetic number, because the mean of its divisors is an integer number (2881494).

Almost surely, 2116036064 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 116036064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172889640).

116036064 is an abundant number, since it is smaller than the sum of its proper divisors (229743216).

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

116036064 is an equidigital number, since it uses as much as digits as its factorization.

116036064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 116036064 is about 10772.0037133302. The cubic root of 116036064 is about 487.7504322758.

Adding to 116036064 its reverse (460630611), we get a palindrome (576666675).

It can be divided in two parts, 11 and 6036064, that added together give a triangular number (6036075 = T3474).

The spelling of 116036064 in words is "one hundred sixteen million, thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 89 96 108 144 162 178 216 267 288 324 356 432 503 534 648 712 801 864 1006 1068 1296 1424 1509 1602 2012 2136 2403 2592 2848 3018 3204 4024 4272 4527 4806 6036 6408 7209 8048 8544 9054 9612 12072 12816 13581 14418 16096 18108 19224 24144 25632 27162 28836 36216 38448 40743 44767 48288 54324 57672 72432 76896 81486 89534 108648 115344 134301 144864 162972 179068 217296 230688 268602 325944 358136 402903 434592 537204 651888 716272 805806 1074408 1208709 1303776 1432544 1611612 2148816 2417418 3223224 3626127 4297632 4834836 6446448 7252254 9669672 12892896 14504508 19339344 29009016 38678688 58018032 116036064