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116829630 = 23252575051
BaseRepresentation
bin1101111011010…
…10110110111110
322010211120010100
412331222312332
5214402022010
615332021530
72616015111
oct675526676
9263746110
10116829630
115aa46915
12331618a6
131b286b78
1411732578
15a3cb2c0
hex6f6adbe

116829630 has 48 divisors (see below), whose sum is σ = 304999344. Its totient is φ = 31027200.

The previous prime is 116829619. The next prime is 116829631. The reversal of 116829630 is 36928611.

116829630 is a `hidden beast` number, since 1 + 16 + 8 + 2 + 9 + 630 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116829631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20605 + ... + 25655.

It is an arithmetic number, because the mean of its divisors is an integer number (6354153).

Almost surely, 2116829630 is an apocalyptic number.

116829630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116829630 is an abundant number, since it is smaller than the sum of its proper divisors (188169714).

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

116829630 is a wasteful number, since it uses less digits than its factorization.

116829630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 116829630 is about 10808.7756013343. The cubic root of 116829630 is about 488.8598090103.

It can be divided in two parts, 11682 and 9630, that added together give a palindrome (21312).

The spelling of 116829630 in words is "one hundred sixteen million, eight hundred twenty-nine thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 514 771 1285 1542 2313 2570 3855 4626 5051 7710 10102 11565 15153 23130 25255 30306 45459 50510 75765 90918 151530 227295 454590 1298107 2596214 3894321 6490535 7788642 11682963 12981070 19471605 23365926 38943210 58414815 116829630