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1116296820 = 223256201649
BaseRepresentation
bin100001010001001…
…0101011001110100
32212210111202100200
41002202111121310
54241232444240
6302434040500
736443236452
oct10242253164
92783452320
101116296820
11523136361
12271a19130
1314a368682
14a83819d2
1568004930
hex42895674

1116296820 has 36 divisors (see below), whose sum is σ = 3386100900. Its totient is φ = 297679104.

The previous prime is 1116296807. The next prime is 1116296821. The reversal of 1116296820 is 286926111.

1116296820 is a `hidden beast` number, since 1 + 1 + 1 + 629 + 6 + 8 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 370023696 + 746273124 = 19236^2 + 27318^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11162968202 = 2492237180684224800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116296821) 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 11 ways as a sum of consecutive naturals, for example, 3100645 + ... + 3101004.

Almost surely, 21116296820 is an apocalyptic number.

1116296820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1116296820 is an abundant number, since it is smaller than the sum of its proper divisors (2269804080).

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

1116296820 is a wasteful number, since it uses less digits than its factorization.

1116296820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6201664 (or 6201659 counting only the distinct ones).

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

The square root of 1116296820 is about 33411.0284187721. The cubic root of 1116296820 is about 1037.3529887019.

The spelling of 1116296820 in words is "one billion, one hundred sixteen million, two hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6201649 12403298 18604947 24806596 31008245 37209894 55814841 62016490 74419788 93024735 111629682 124032980 186049470 223259364 279074205 372098940 558148410 1116296820