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102858712 = 23112591801
BaseRepresentation
bin1100010000101…
…11111111011000
321011112202121221
412020113333120
5202312434322
614112341424
72356166425
oct610277730
9234482557
10102858712
1153074300
122a544874
1318404a58
14d936d4c
15906b9c7
hex6217fd8

102858712 has 48 divisors (see below), whose sum is σ = 215699400. Its totient is φ = 45936000.

The previous prime is 102858689. The next prime is 102858719. The reversal of 102858712 is 217858201.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 56212 + ... + 58012.

Almost surely, 2102858712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102858712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107849700).

102858712 is an abundant number, since it is smaller than the sum of its proper divisors (112840688).

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

102858712 is a wasteful number, since it uses less digits than its factorization.

102858712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 102858712 is about 10141.9284162333. The cubic root of 102858712 is about 468.5403819618.

The spelling of 102858712 in words is "one hundred two million, eight hundred fifty-eight thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 44 59 88 118 121 236 242 472 484 649 968 1298 1801 2596 3602 5192 7139 7204 14278 14408 19811 28556 39622 57112 79244 106259 158488 212518 217921 425036 435842 850072 871684 1168849 1743368 2337698 4675396 9350792 12857339 25714678 51429356 102858712