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102863420 = 225113071523
BaseRepresentation
bin1100010000110…
…01001000111100
321011120000002022
412020121020330
5202313112140
614112415312
72356216232
oct610311074
9234500068
10102863420
11530778a0
122a547538
1318406c3a
14d938952
15906d0b5
hex621923c

102863420 has 48 divisors (see below), whose sum is σ = 236573568. Its totient is φ = 37258560.

The previous prime is 102863419. The next prime is 102863437. The reversal of 102863420 is 24368201.

It is a super-3 number, since 3×1028634203 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102863420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66779 + ... + 68301.

It is an arithmetic number, because the mean of its divisors is an integer number (4928616).

Almost surely, 2102863420 is an apocalyptic number.

102863420 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 102863420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118286784).

102863420 is an abundant number, since it is smaller than the sum of its proper divisors (133710148).

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

102863420 is a wasteful number, since it uses less digits than its factorization.

102863420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 102863420 is about 10142.1605193371. The cubic root of 102863420 is about 468.5475304552.

The spelling of 102863420 in words is "one hundred two million, eight hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 307 614 1228 1523 1535 3046 3070 3377 6092 6140 6754 7615 13508 15230 16753 16885 30460 33506 33770 67012 67540 83765 167530 335060 467561 935122 1870244 2337805 4675610 5143171 9351220 10286342 20572684 25715855 51431710 102863420