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116797050 = 23252277937
BaseRepresentation
bin1101111011000…
…10111001111010
322010202220102200
412331202321322
5214400001200
615331211030
72615521116
oct675427172
9263686380
10116797050
115aa24397
1233146a76
131b2750a6
1411724746
15a3c1800
hex6f62e7a

116797050 has 72 divisors (see below), whose sum is σ = 315263676. Its totient is φ = 31000320.

The previous prime is 116797039. The next prime is 116797067. The reversal of 116797050 is 50797611.

It can be written as a sum of positive squares in 6 ways, for example, as 4076361 + 112720689 = 2019^2 + 10617^2 .

It is a junction number, because it is equal to n+sod(n) for n = 116796996 and 116797014.

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 35 ways as a sum of consecutive naturals, for example, 124182 + ... + 125118.

Almost surely, 2116797050 is an apocalyptic number.

116797050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116797050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157631838).

116797050 is an abundant number, since it is smaller than the sum of its proper divisors (198466626).

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

116797050 is a wasteful number, since it uses less digits than its factorization.

116797050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 36.

The square root of 116797050 is about 10807.2683875251. The cubic root of 116797050 is about 488.8143623962.

The spelling of 116797050 in words is "one hundred sixteen million, seven hundred ninety-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 277 450 554 831 937 1385 1662 1874 2493 2770 2811 4155 4685 4986 5622 6925 8310 8433 9370 12465 13850 14055 16866 20775 23425 24930 28110 41550 42165 46850 62325 70275 84330 124650 140550 210825 259549 421650 519098 778647 1297745 1557294 2335941 2595490 3893235 4671882 6488725 7786470 11679705 12977450 19466175 23359410 38932350 58398525 116797050