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116316090 = 2325113971
BaseRepresentation
bin1101110111011…
…01011110111010
322002212110200100
412323231132322
5214234103330
615313020230
72611445652
oct673553672
9262773610
10116316090
115a726000
1232b54676
131b1371b7
141163b362
15a329060
hex6eed7ba

116316090 has 96 divisors (see below), whose sum is σ = 332983872. Its totient is φ = 28168800.

The previous prime is 116316077. The next prime is 116316107. The reversal of 116316090 is 90613611.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 119305 + ... + 120275.

It is an arithmetic number, because the mean of its divisors is an integer number (3468582).

Almost surely, 2116316090 is an apocalyptic number.

116316090 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 116316090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166491936).

116316090 is an abundant number, since it is smaller than the sum of its proper divisors (216667782).

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

116316090 is a wasteful number, since it uses less digits than its factorization.

116316090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 116316090 is about 10784.9937413056. The cubic root of 116316090 is about 488.1424744124.

The spelling of 116316090 in words is "one hundred sixteen million, three hundred sixteen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 971 990 1089 1210 1331 1815 1942 2178 2662 2913 3630 3993 4855 5445 5826 6655 7986 8739 9710 10681 10890 11979 13310 14565 17478 19965 21362 23958 29130 32043 39930 43695 53405 59895 64086 87390 96129 106810 117491 119790 160215 192258 234982 320430 352473 480645 587455 704946 961290 1057419 1174910 1292401 1762365 2114838 2584802 3524730 3877203 5287095 6462005 7754406 10574190 11631609 12924010 19386015 23263218 38772030 58158045 116316090