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116063820 = 22335372157
BaseRepresentation
bin1101110101011…
…11111001001100
322002101122122000
412322233321030
5214203020240
615303352300
72606345325
oct672577114
9262348560
10116063820
115a573514
1232a52690
131b079422
14115b344c
15a2c9430
hex6eafe4c

116063820 has 144 divisors (see below), whose sum is σ = 373474080. Its totient is φ = 29922048.

The previous prime is 116063813. The next prime is 116063839. The reversal of 116063820 is 28360611.

116063820 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 638 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739182 + ... + 739338.

It is an arithmetic number, because the mean of its divisors is an integer number (2593570).

Almost surely, 2116063820 is an apocalyptic number.

116063820 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 116063820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186737040).

116063820 is an abundant number, since it is smaller than the sum of its proper divisors (257410260).

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

116063820 is a wasteful number, since it uses less digits than its factorization.

116063820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 116063820 is about 10773.2919759932. The cubic root of 116063820 is about 487.7893193863.

It can be divided in two parts, 1160 and 63820, that added together give a triangular number (64980 = T360).

The spelling of 116063820 in words is "one hundred sixteen million, sixty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 157 180 185 222 270 314 333 370 444 471 540 555 628 666 740 785 942 999 1110 1332 1369 1413 1570 1665 1884 1998 2220 2355 2738 2826 3140 3330 3996 4107 4239 4710 4995 5476 5652 5809 6660 6845 7065 8214 8478 9420 9990 11618 12321 13690 14130 16428 16956 17427 19980 20535 21195 23236 24642 27380 28260 29045 34854 36963 41070 42390 49284 52281 58090 61605 69708 73926 82140 84780 87135 104562 116180 123210 147852 156843 174270 184815 209124 214933 246420 261405 313686 348540 369630 429866 522810 627372 644799 739260 784215 859732 1045620 1074665 1289598 1568430 1934397 2149330 2579196 3136860 3223995 3868794 4298660 5803191 6447990 7737588 9671985 11606382 12895980 19343970 23212764 29015955 38687940 58031910 116063820