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1116836352 = 29321753269
BaseRepresentation
bin100001010010001…
…1001001000000000
32212211112011110100
41002210121020000
54241402230402
6302453402400
736450644442
oct10244311000
92784464410
101116836352
11523474755
12272039400
1314a4c7118
14a8482492
15680ae71c
hex42919200

1116836352 has 240 divisors, whose sum is σ = 3490189560. Its totient is φ = 342491136.

The previous prime is 1116836339. The next prime is 1116836353. The reversal of 1116836352 is 2536386111.

1116836352 is a `hidden beast` number, since 1 + 1 + 16 + 8 + 3 + 635 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 952586496 + 164249856 = 30864^2 + 12816^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1116836353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4151674 + ... + 4151942.

Almost surely, 21116836352 is an apocalyptic number.

1116836352 is a gapful number since it is divisible by the number (12) 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 1116836352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745094780).

1116836352 is an abundant number, since it is smaller than the sum of its proper divisors (2373353208).

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

1116836352 is a wasteful number, since it uses less digits than its factorization.

1116836352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 344 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1116836352 is about 33419.1016037236. The cubic root of 1116836352 is about 1037.5200873258.

The spelling of 1116836352 in words is "one billion, one hundred sixteen million, eight hundred thirty-six thousand, three hundred fifty-two".