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1116220896 = 25327553681
BaseRepresentation
bin100001010001000…
…0010110111100000
32212210100220012200
41002202002313200
54241223032041
6302432253200
736442502220
oct10242026740
92783326180
101116220896
1152309430a
122719a1200
1314a33cc4b
14a8362080
1567edc1b6
hex42882de0

1116220896 has 72 divisors (see below), whose sum is σ = 3627724464. Its totient is φ = 318919680.

The previous prime is 1116220877. The next prime is 1116220951. The reversal of 1116220896 is 6980226111.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1116220896.

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 11 ways as a sum of consecutive naturals, for example, 274825 + ... + 278856.

It is an arithmetic number, because the mean of its divisors is an integer number (50385062).

Almost surely, 21116220896 is an apocalyptic number.

1116220896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1116220896 is an abundant number, since it is smaller than the sum of its proper divisors (2511503568).

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

1116220896 is a wasteful number, since it uses less digits than its factorization.

1116220896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553704 (or 553693 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1116220896 is about 33409.8921877937. The cubic root of 1116220896 is about 1037.3294699351.

The spelling of 1116220896 in words is "one billion, one hundred sixteen million, two hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 553681 1107362 1661043 2214724 3322086 3875767 4429448 4983129 6644172 7751534 8858896 9966258 11627301 13288344 15503068 17717792 19932516 23254602 26576688 31006136 34881903 39865032 46509204 53153376 62012272 69763806 79730064 93018408 124024544 139527612 159460128 186036816 279055224 372073632 558110448 1116220896