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116065040 = 245713107149
BaseRepresentation
bin1101110101100…
…00001100010000
322002101201022012
412322300030100
5214203040130
615303402052
72606352020
oct672601420
9262351265
10116065040
115a574423
1232a53328
131b079b50
14115b3a80
15a2c9995
hex6eb0310

116065040 has 160 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 36145152.

The previous prime is 116065031. The next prime is 116065051. The reversal of 116065040 is 40560611.

It is a junction number, because it is equal to n+sod(n) for n = 116064997 and 116065015.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 778886 + ... + 779034.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2116065040 is an apocalyptic number.

116065040 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 116065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

116065040 is an abundant number, since it is smaller than the sum of its proper divisors (221413360).

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

116065040 is a wasteful number, since it uses less digits than its factorization.

116065040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 116065040 is about 10773.3485973489. The cubic root of 116065040 is about 487.7910285060.

The spelling of 116065040 in words is "one hundred sixteen million, sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 107 112 130 140 149 182 208 214 260 280 298 364 428 455 520 535 560 596 728 745 749 856 910 1040 1043 1070 1192 1391 1456 1490 1498 1712 1820 1937 2086 2140 2384 2782 2980 2996 3640 3745 3874 4172 4280 5215 5564 5960 5992 6955 7280 7490 7748 8344 8560 9685 9737 10430 11128 11920 11984 13559 13910 14980 15496 15943 16688 19370 19474 20860 22256 27118 27820 29960 30992 31886 38740 38948 41720 48685 54236 55640 59920 63772 67795 77480 77896 79715 83440 97370 108472 111280 111601 127544 135590 154960 155792 159430 194740 207259 216944 223202 255088 271180 318860 389480 414518 446404 542360 558005 637720 778960 829036 892808 1036295 1084720 1116010 1275440 1450813 1658072 1785616 2072590 2232020 2901626 3316144 4145180 4464040 5803252 7254065 8290360 8928080 11606504 14508130 16580720 23213008 29016260 58032520 116065040