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103198580 = 2256184589
BaseRepresentation
bin1100010011010…
…10111101110100
321012012000211122
412021222331310
5202404323310
614123523112
72362113332
oct611527564
9235160748
10103198580
1153286691
122a689498
13184c3664
14d9c4b52
1590d7555
hex626af74

103198580 has 24 divisors (see below), whose sum is σ = 220272360. Its totient is φ = 40602240.

The previous prime is 103198577. The next prime is 103198583. The reversal of 103198580 is 85891301.

103198580 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103198577) and next prime (103198583).

It can be written as a sum of positive squares in 4 ways, for example, as 4553956 + 98644624 = 2134^2 + 9932^2 .

103198580 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 103198580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103198583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41075 + ... + 43514.

It is an arithmetic number, because the mean of its divisors is an integer number (9178015).

Almost surely, 2103198580 is an apocalyptic number.

103198580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103198580 is an abundant number, since it is smaller than the sum of its proper divisors (117073780).

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

103198580 is a wasteful number, since it uses less digits than its factorization.

103198580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84659 (or 84657 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 103198580 is about 10158.6701885631. The cubic root of 103198580 is about 469.0558684012.

The spelling of 103198580 in words is "one hundred three million, one hundred ninety-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 84589 169178 338356 422945 845890 1691780 5159929 10319858 20639716 25799645 51599290 103198580