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116667216 = 243537811
BaseRepresentation
bin1101111010000…
…11001101010000
322010112022100000
412331003031100
5214331322331
615324330000
72614440441
oct675031520
9263468300
10116667216
115a945896
12330a3900
131b22ac73
14116cd2c8
15a3980e6
hex6f43350

116667216 has 120 divisors (see below), whose sum is σ = 348179104. Its totient is φ = 37791360.

The previous prime is 116667119. The next prime is 116667223. The reversal of 116667216 is 612766611.

It is a super-2 number, since 2×1166672162 = 27222478578381312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 143451 + ... + 144261.

Almost surely, 2116667216 is an apocalyptic number.

116667216 is a gapful number since it is divisible by the number (16) 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 116667216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174089552).

116667216 is an abundant number, since it is smaller than the sum of its proper divisors (231511888).

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

116667216 is an equidigital number, since it uses as much as digits as its factorization.

116667216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 853 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 116667216 is about 10801.2599265086. The cubic root of 116667216 is about 488.6331698784.

The spelling of 116667216 in words is "one hundred sixteen million, six hundred sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 432 444 486 592 648 666 811 888 972 999 1296 1332 1622 1776 1944 1998 2433 2664 2997 3244 3888 3996 4866 5328 5994 6488 7299 7992 8991 9732 11988 12976 14598 15984 17982 19464 21897 23976 29196 30007 35964 38928 43794 47952 58392 60014 65691 71928 87588 90021 116784 120028 131382 143856 175176 180042 197073 240056 262764 270063 350352 360084 394146 480112 525528 540126 720168 788292 810189 1051056 1080252 1440336 1576584 1620378 2160504 2430567 3153168 3240756 4321008 4861134 6481512 7291701 9722268 12963024 14583402 19444536 29166804 38889072 58333608 116667216