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15242000 = 24537621
BaseRepresentation
bin111010001001…
…001100010000
31001200101002112
4322021030100
512400221000
61302404452
7243361214
oct72111420
931611075
1015242000
1186705a4
125130728
133208847
14204a944
151511235
hexe89310

15242000 has 40 divisors (see below), whose sum is σ = 36859992. Its totient is φ = 6096000.

The previous prime is 15241997. The next prime is 15242027. The reversal of 15242000 is 24251.

It can be written as a sum of positive squares in 4 ways, for example, as 784 + 15241216 = 28^2 + 3904^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1811 + ... + 5810.

Almost surely, 215242000 is an apocalyptic number.

15242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15242000 is an abundant number, since it is smaller than the sum of its proper divisors (21617992).

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

15242000 is an equidigital number, since it uses as much as digits as its factorization.

15242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7628 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 15242000 is about 3904.1004085448. The cubic root of 15242000 is about 247.9404123228.

Adding to 15242000 its reverse (24251), we get a palindrome (15266251).

The spelling of 15242000 in words is "fifteen million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 7621 15242 30484 38105 60968 76210 121936 152420 190525 304840 381050 609680 762100 952625 1524200 1905250 3048400 3810500 7621000 15242000