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1242140000 = 2554173359
BaseRepresentation
bin100101000001001…
…1000110101100000
310012120022020202012
41022002120311200
510020441440000
6323131212052
742532005263
oct11202306540
93176266665
101242140000
11588179192
122a7ba7028
1316a45a0aa
14bad7ccda
15740b1735
hex4a098d60

1242140000 has 120 divisors (see below), whose sum is σ = 3082075920. Its totient is φ = 492608000.

The previous prime is 1242139993. The next prime is 1242140051. The reversal of 1242140000 is 412421.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 3459821 + ... + 3460179.

It is an arithmetic number, because the mean of its divisors is an integer number (25683966).

Almost surely, 21242140000 is an apocalyptic number.

1242140000 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 1242140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541037960).

1242140000 is an abundant number, since it is smaller than the sum of its proper divisors (1839935920).

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

1242140000 is an equidigital number, since it uses as much as digits as its factorization.

1242140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1242140000 is about 35244.0065826801. The cubic root of 1242140000 is about 1074.9547484107.

Adding to 1242140000 its reverse (412421), we get a palindrome (1242552421).

The spelling of 1242140000 in words is "one billion, two hundred forty-two million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 200 250 346 359 400 500 625 692 718 800 865 1000 1250 1384 1436 1730 1795 2000 2500 2768 2872 3460 3590 4000 4325 5000 5536 5744 6920 7180 8650 8975 10000 11488 13840 14360 17300 17950 20000 21625 27680 28720 34600 35900 43250 44875 57440 62107 69200 71800 86500 89750 108125 124214 138400 143600 173000 179500 216250 224375 248428 287200 310535 346000 359000 432500 448750 496856 621070 692000 718000 865000 897500 993712 1242140 1436000 1552675 1730000 1795000 1987424 2484280 3105350 3460000 3590000 4968560 6210700 7180000 7763375 9937120 12421400 15526750 24842800 31053500 38816875 49685600 62107000 77633750 124214000 155267500 248428000 310535000 621070000 1242140000