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103392580 = 22516013229
BaseRepresentation
bin1100010100110…
…10010101000100
321012112212221211
412022122111010
5202432030310
614132021204
72363552044
oct612322504
9235485854
10103392580
11533a9415
122a761804
1318560a55
14da35724
159124c8a
hex629a544

103392580 has 24 divisors (see below), whose sum is σ = 217327320. Its totient is φ = 41318400.

The previous prime is 103392563. The next prime is 103392581. The reversal of 103392580 is 85293301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31719424 + 71673156 = 5632^2 + 8466^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (103392581) 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, 30406 + ... + 33634.

It is an arithmetic number, because the mean of its divisors is an integer number (9055305).

Almost surely, 2103392580 is an apocalyptic number.

103392580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103392580 is an abundant number, since it is smaller than the sum of its proper divisors (113934740).

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

103392580 is a wasteful number, since it uses less digits than its factorization.

103392580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 103392580 is about 10168.2141991600. The cubic root of 103392580 is about 469.3496058964.

The spelling of 103392580 in words is "one hundred three million, three hundred ninety-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 1601 3202 3229 6404 6458 8005 12916 16010 16145 32020 32290 64580 5169629 10339258 20678516 25848145 51696290 103392580