Search a number
-
+
116314860 = 22355379463
BaseRepresentation
bin1101110111011…
…01001011101100
322002212101222210
412323231023230
5214234033420
615313010420
72611442244
oct673551354
9262771883
10116314860
115a725092
1232b53a10
131b13677c
141163ab24
15a3289e0
hex6eed2ec

116314860 has 96 divisors (see below), whose sum is σ = 336752640. Its totient is φ = 29981952.

The previous prime is 116314837. The next prime is 116314889. The reversal of 116314860 is 68413611.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 250989 + ... + 251451.

It is an arithmetic number, because the mean of its divisors is an integer number (3507840).

Almost surely, 2116314860 is an apocalyptic number.

116314860 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 116314860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168376320).

116314860 is an abundant number, since it is smaller than the sum of its proper divisors (220437780).

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

116314860 is a wasteful number, since it uses less digits than its factorization.

116314860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 116314860 is about 10784.9367174778. The cubic root of 116314860 is about 488.1407537638.

The spelling of 116314860 in words is "one hundred sixteen million, three hundred fourteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 79 106 158 159 212 237 265 316 318 395 463 474 530 636 790 795 926 948 1060 1185 1389 1580 1590 1852 2315 2370 2778 3180 4187 4630 4740 5556 6945 8374 9260 12561 13890 16748 20935 24539 25122 27780 36577 41870 49078 50244 62805 73154 73617 83740 98156 109731 122695 125610 146308 147234 182885 219462 245390 251220 294468 365770 368085 438924 490780 548655 731540 736170 1097310 1472340 1938581 2194620 3877162 5815743 7754324 9692905 11631486 19385810 23262972 29078715 38771620 58157430 116314860