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102798580 = 22537138917
BaseRepresentation
bin1100010000010…
…01010011110100
321011102201010211
412020021103310
5202304023310
614111155204
72355526213
oct610112364
9234381124
10102798580
1153033105
122a515b04
13183b3581
14d91d07a
159058c8a
hex62094f4

102798580 has 24 divisors (see below), whose sum is σ = 221713128. Its totient is φ = 40007808.

The previous prime is 102798559. The next prime is 102798587. The reversal of 102798580 is 85897201.

It can be written as a sum of positive squares in 4 ways, for example, as 6091024 + 96707556 = 2468^2 + 9834^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102798587) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 68719 + ... + 70198.

It is an arithmetic number, because the mean of its divisors is an integer number (9238047).

Almost surely, 2102798580 is an apocalyptic number.

102798580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102798580 is an abundant number, since it is smaller than the sum of its proper divisors (118914548).

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

102798580 is a wasteful number, since it uses less digits than its factorization.

102798580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138963 (or 138961 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 102798580 is about 10138.9634578689. The cubic root of 102798580 is about 468.4490600511.

The spelling of 102798580 in words is "one hundred two million, seven hundred ninety-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 138917 277834 555668 694585 1389170 2778340 5139929 10279858 20559716 25699645 51399290 102798580