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1115436040 = 235193739667
BaseRepresentation
bin100001001111100…
…0011010000001000
32212201220000120221
41002133003100020
54241022423130
6302403355424
736433023055
oct10237032010
92781800527
101115436040
115226a8674
12271682b74
1314a126934
14a81da02c
1567dd487a
hex427c3408

1115436040 has 64 divisors (see below), whose sum is σ = 2713291200. Its totient is φ = 411257088.

The previous prime is 1115436031. The next prime is 1115436041. The reversal of 1115436040 is 406345111.

It is a junction number, because it is equal to n+sod(n) for n = 1115435996 and 1115436014.

It is not an unprimeable number, because it can be changed into a prime (1115436041) by changing a digit.

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, 8287 + ... + 47953.

It is an arithmetic number, because the mean of its divisors is an integer number (42395175).

Almost surely, 21115436040 is an apocalyptic number.

1115436040 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 1115436040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356645600).

1115436040 is an abundant number, since it is smaller than the sum of its proper divisors (1597855160).

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

1115436040 is a wasteful number, since it uses less digits than its factorization.

1115436040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39734 (or 39730 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1115436040 is about 33398.1442598238. The cubic root of 1115436040 is about 1037.0862847506.

The spelling of 1115436040 in words is "one billion, one hundred fifteen million, four hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 37 38 40 74 76 95 148 152 185 190 296 370 380 703 740 760 1406 1480 2812 3515 5624 7030 14060 28120 39667 79334 158668 198335 317336 396670 753673 793340 1467679 1507346 1586680 2935358 3014692 3768365 5870716 6029384 7338395 7536730 11741432 14676790 15073460 27885901 29353580 30146920 55771802 58707160 111543604 139429505 223087208 278859010 557718020 1115436040