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86116770 = 236511813
BaseRepresentation
bin1010010001000…
…00100110100010
320000001012000000
411020200212202
5134021214040
612313440430
72063660205
oct510404642
9200035000
1086116770
1144679893
1224a10116
1314ac258c
14b61993c
157861130
hex52209a2

86116770 has 56 divisors (see below), whose sum is σ = 232428636. Its totient is φ = 22962528.

The previous prime is 86116757. The next prime is 86116799. The reversal of 86116770 is 7761168.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 84768849 + 1347921 = 9207^2 + 1161^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1384 + ... + 13196.

Almost surely, 286116770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86116770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116214318).

86116770 is an abundant number, since it is smaller than the sum of its proper divisors (146311866).

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

86116770 is a wasteful number, since it uses less digits than its factorization.

86116770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11838 (or 11823 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 86116770 is about 9279.9121763086. The cubic root of 86116770 is about 441.6001823900.

The spelling of 86116770 in words is "eighty-six million, one hundred sixteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 11813 23626 35439 59065 70878 106317 118130 177195 212634 318951 354390 531585 637902 956853 1063170 1594755 1913706 2870559 3189510 4784265 5741118 8611677 9568530 14352795 17223354 28705590 43058385 86116770