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102858340 = 22513419649
BaseRepresentation
bin1100010000101…
…11111001100100
321011112202010011
412020113321210
5202312431330
614112340004
72356165354
oct610277144
9234482104
10102858340
1153073aa2
122a544604
1318404830
14d936b64
15906b82a
hex6217e64

102858340 has 48 divisors (see below), whose sum is σ = 238316400. Its totient is φ = 37048320.

The previous prime is 102858317. The next prime is 102858359. The reversal of 102858340 is 43858201.

It can be written as a sum of positive squares in 8 ways, for example, as 50324836 + 52533504 = 7094^2 + 7248^2 .

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 15 ways as a sum of consecutive naturals, for example, 5836 + ... + 15484.

It is an arithmetic number, because the mean of its divisors is an integer number (4964925).

Almost surely, 2102858340 is an apocalyptic number.

102858340 is a gapful number since it is divisible by the number (10) 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 102858340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119158200).

102858340 is an abundant number, since it is smaller than the sum of its proper divisors (135458060).

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

102858340 is a wasteful number, since it uses less digits than its factorization.

102858340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9712 (or 9710 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 102858340 is about 10141.9100765093. The cubic root of 102858340 is about 468.5398171183.

The spelling of 102858340 in words is "one hundred two million, eight hundred fifty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 41 52 65 82 130 164 205 260 410 533 820 1066 2132 2665 5330 9649 10660 19298 38596 48245 96490 125437 192980 250874 395609 501748 627185 791218 1254370 1582436 1978045 2508740 3956090 5142917 7912180 10285834 20571668 25714585 51429170 102858340