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86107014 = 23272233419
BaseRepresentation
bin1010010000111…
…10001110000110
320000000200121200
411020132032012
5134020411024
612313323330
72063616600
oct510361606
9200020550
1086107014
1144672524
1224a06546
1314abacc6
14b616170
15785d2c9
hex521e386

86107014 has 72 divisors (see below), whose sum is σ = 218476440. Its totient is φ = 24437952.

The previous prime is 86106983. The next prime is 86107039. The reversal of 86107014 is 41070168.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205297 + ... + 205715.

It is an arithmetic number, because the mean of its divisors is an integer number (3034395).

Almost surely, 286107014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86107014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109238220).

86107014 is an abundant number, since it is smaller than the sum of its proper divisors (132369426).

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

86107014 is a wasteful number, since it uses less digits than its factorization.

86107014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 86107014 is about 9279.3865098939. The cubic root of 86107014 is about 441.5835057540.

The spelling of 86107014 in words is "eighty-six million, one hundred seven thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 233 294 419 441 466 699 838 882 1257 1398 1631 2097 2514 2933 3262 3771 4194 4893 5866 7542 8799 9786 11417 14679 17598 20531 22834 26397 29358 34251 41062 52794 61593 68502 97627 102753 123186 184779 195254 205506 292881 369558 585762 683389 878643 1366778 1757286 2050167 4100334 4783723 6150501 9567446 12301002 14351169 28702338 43053507 86107014