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1242395080 = 235791093607
BaseRepresentation
bin100101000001101…
…0111000111001000
310012120210012122121
41022003113013020
510021023120310
6323140501024
742534120043
oct11203270710
93176705577
101242395080
115883328a3
122a80aa774
1316a519224
14bb007c5a
15741120da
hex4a0d71c8

1242395080 has 64 divisors (see below), whose sum is σ = 2857536000. Its totient is φ = 486031104.

The previous prime is 1242395057. The next prime is 1242395081. The reversal of 1242395080 is 805932421.

It is not an unprimeable number, because it can be changed into a prime (1242395081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342637 + ... + 346243.

It is an arithmetic number, because the mean of its divisors is an integer number (44649000).

Almost surely, 21242395080 is an apocalyptic number.

1242395080 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 1242395080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428768000).

1242395080 is an abundant number, since it is smaller than the sum of its proper divisors (1615140920).

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

1242395080 is a wasteful number, since it uses less digits than its factorization.

1242395080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1242395080 is about 35247.6251682294. The cubic root of 1242395080 is about 1075.0283259167.

The spelling of 1242395080 in words is "one billion, two hundred forty-two million, three hundred ninety-five thousand, eighty".

Divisors: 1 2 4 5 8 10 20 40 79 109 158 218 316 395 436 545 632 790 872 1090 1580 2180 3160 3607 4360 7214 8611 14428 17222 18035 28856 34444 36070 43055 68888 72140 86110 144280 172220 284953 344440 393163 569906 786326 1139812 1424765 1572652 1965815 2279624 2849530 3145304 3931630 5699060 7863260 11398120 15726520 31059877 62119754 124239508 155299385 248479016 310598770 621197540 1242395080