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116687220 = 223513211709
BaseRepresentation
bin1101111010010…
…00000101110100
322010120022202220
412331020011310
5214332442340
615325002340
72614552656
oct675100564
9263508686
10116687220
115a959921
12330b33b0
131b2370c0
14116d66d6
15a39ded0
hex6f48174

116687220 has 96 divisors (see below), whose sum is σ = 354023040. Its totient is φ = 28546560.

The previous prime is 116687171. The next prime is 116687231. The reversal of 116687220 is 22786611.

It is a super-2 number, since 2×1166872202 = 27231814622656800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164226 + ... + 164934.

It is an arithmetic number, because the mean of its divisors is an integer number (3687740).

Almost surely, 2116687220 is an apocalyptic number.

116687220 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 116687220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177011520).

116687220 is an abundant number, since it is smaller than the sum of its proper divisors (237335820).

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

116687220 is a wasteful number, since it uses less digits than its factorization.

116687220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 116687220 is about 10802.1858899021. The cubic root of 116687220 is about 488.6610956307.

The spelling of 116687220 in words is "one hundred sixteen million, six hundred eighty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 211 260 390 422 633 709 780 844 1055 1266 1418 2110 2127 2532 2743 2836 3165 3545 4220 4254 5486 6330 7090 8229 8508 9217 10635 10972 12660 13715 14180 16458 18434 21270 27430 27651 32916 36868 41145 42540 46085 54860 55302 82290 92170 110604 138255 149599 164580 184340 276510 299198 448797 553020 598396 747995 897594 1495990 1795188 1944787 2243985 2991980 3889574 4487970 5834361 7779148 8975940 9723935 11668722 19447870 23337444 29171805 38895740 58343610 116687220