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1115135040 = 26351161599
BaseRepresentation
bin100001001110111…
…1001110001000000
32212201022201200210
41002131321301000
54240433310130
6302353114120
736430330365
oct10235716100
92781281623
101115135040
11522512508
12271558940
1314a04c926
14a815c46c
1567d755b0
hex42779c40

1115135040 has 56 divisors (see below), whose sum is σ = 3540556800. Its totient is φ = 297369088.

The previous prime is 1115135029. The next prime is 1115135051. The reversal of 1115135040 is 405315111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1115135029) and next prime (1115135051).

It is a junction number, because it is equal to n+sod(n) for n = 1115134998 and 1115135016.

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 7 ways as a sum of consecutive naturals, for example, 579840 + ... + 581759.

Almost surely, 21115135040 is an apocalyptic number.

1115135040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1115135040 is an abundant number, since it is smaller than the sum of its proper divisors (2425421760).

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

1115135040 is a wasteful number, since it uses less digits than its factorization.

1115135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161619 (or 1161609 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 1115135040 is about 33393.6377173856. The cubic root of 1115135040 is about 1036.9929905757.

The spelling of 1115135040 in words is "one billion, one hundred fifteen million, one hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1161599 2323198 3484797 4646396 5807995 6969594 9292792 11615990 13939188 17423985 18585584 23231980 27878376 34847970 37171168 46463960 55756752 69695940 74342336 92927920 111513504 139391880 185855840 223027008 278783760 371711680 557567520 1115135040