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102858714 = 23372311831
BaseRepresentation
bin1100010000101…
…11111111011010
321011112202122000
412020113333122
5202312434324
614112341430
72356166430
oct610277732
9234482560
10102858714
1153074302
122a544876
1318404a5a
14d936d50
15906b9c9
hex6217fda

102858714 has 64 divisors (see below), whose sum is σ = 272609280. Its totient is φ = 28108080.

The previous prime is 102858689. The next prime is 102858719. The reversal of 102858714 is 417858201.

It is not an unprimeable number, because it can be changed into a prime (102858719) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2779 + ... + 14609.

It is an arithmetic number, because the mean of its divisors is an integer number (4259520).

Almost surely, 2102858714 is an apocalyptic number.

102858714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102858714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136304640).

102858714 is an abundant number, since it is smaller than the sum of its proper divisors (169750566).

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

102858714 is a wasteful number, since it uses less digits than its factorization.

102858714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11872 (or 11866 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 102858714 is about 10141.9285148339. The cubic root of 102858714 is about 468.5403849986.

The spelling of 102858714 in words is "one hundred two million, eight hundred fifty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2898 4347 8694 11831 23662 35493 70986 82817 106479 165634 212958 248451 272113 319437 496902 544226 638874 745353 816339 1490706 1632678 1904791 2236059 2449017 3809582 4472118 4898034 5714373 7347051 11428746 14694102 17143119 34286238 51429357 102858714