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1242240440 = 235710094397
BaseRepresentation
bin100101000001011…
…0001010110111000
310012120111100112012
41022002301112320
510021003143230
6323133305052
742532604150
oct11202612670
93176440465
101242240440
115882376a1
122a8035188
1316a493a1c
14bada7760
15740d1395
hex4a0b15b8

1242240440 has 64 divisors (see below), whose sum is σ = 3198225600. Its totient is φ = 425392128.

The previous prime is 1242240437. The next prime is 1242240451. The reversal of 1242240440 is 440422421.

It is a super-2 number, since 2×12422404402 = 3086322621542787200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 280322 + ... + 284718.

It is an arithmetic number, because the mean of its divisors is an integer number (49972275).

Almost surely, 21242240440 is an apocalyptic number.

1242240440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242240440 is an abundant number, since it is smaller than the sum of its proper divisors (1955985160).

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

1242240440 is a wasteful number, since it uses less digits than its factorization.

1242240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5424 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 1242240440 is about 35245.4314770014. The cubic root of 1242240440 is about 1074.9837214048.

Adding to 1242240440 its reverse (440422421), we get a palindrome (1682662861).

The spelling of 1242240440 in words is "one billion, two hundred forty-two million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1009 2018 4036 4397 5045 7063 8072 8794 10090 14126 17588 20180 21985 28252 30779 35176 35315 40360 43970 56504 61558 70630 87940 123116 141260 153895 175880 246232 282520 307790 615580 1231160 4436573 8873146 17746292 22182865 31056011 35492584 44365730 62112022 88731460 124224044 155280055 177462920 248448088 310560110 621120220 1242240440