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1242124040 = 235173749369
BaseRepresentation
bin100101000001001…
…0100111100001000
310012120021102212002
41022002110330020
510020440432130
6323131010132
742531610613
oct11202247410
93176242762
101242124040
115881681a3
122a7b99948
1316a452a51
14bad7717a
15740abb45
hex4a094f08

1242124040 has 64 divisors (see below), whose sum is σ = 3039217200. Its totient is φ = 454975488.

The previous prime is 1242124021. The next prime is 1242124067. The reversal of 1242124040 is 404212421.

It can be written as a sum of positive squares in 8 ways, for example, as 776513956 + 465610084 = 27866^2 + 21578^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 476 + ... + 49844.

Almost surely, 21242124040 is an apocalyptic number.

1242124040 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 1242124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519608600).

1242124040 is an abundant number, since it is smaller than the sum of its proper divisors (1797093160).

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

1242124040 is a wasteful number, since it uses less digits than its factorization.

1242124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49434 (or 49430 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1242124040 is about 35243.7801604765. The cubic root of 1242124040 is about 1074.9501444339.

Adding to 1242124040 its reverse (404212421), we get a palindrome (1646336461).

The spelling of 1242124040 in words is "one billion, two hundred forty-two million, one hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 296 340 370 629 680 740 1258 1480 2516 3145 5032 6290 12580 25160 49369 98738 197476 246845 394952 493690 839273 987380 1678546 1826653 1974760 3357092 3653306 4196365 6714184 7306612 8392730 9133265 14613224 16785460 18266530 31053101 33570920 36533060 62106202 73066120 124212404 155265505 248424808 310531010 621062020 1242124040