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1131796512 = 2532721123317
BaseRepresentation
bin100001101110101…
…1101100000100000
32220212200012221100
41003131131200200
54304214442022
6304150154400
740022053200
oct10335354040
92825605840
101131796512
11530962520
12277052a00
131506345a2
14aa458400
15695671ac
hex4375d820

1131796512 has 432 divisors, whose sum is σ = 4275415872. Its totient is φ = 280304640.

The previous prime is 1131796499. The next prime is 1131796517. The reversal of 1131796512 is 2156971311.

It is a happy number.

1131796512 is a `hidden beast` number, since 1 + 131 + 7 + 9 + 6 + 512 = 666.

It is a super-2 number, since 2×11317965122 = 2561926689150732288, which contains 22 as substring.

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 (1131796517) 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 71 ways as a sum of consecutive naturals, for example, 3570178 + ... + 3570494.

It is an arithmetic number, because the mean of its divisors is an integer number (9896796).

Almost surely, 21131796512 is an apocalyptic number.

1131796512 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 1131796512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137707936).

1131796512 is an abundant number, since it is smaller than the sum of its proper divisors (3143619360).

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

1131796512 is a wasteful number, since it uses less digits than its factorization.

1131796512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 363 counting only the distinct ones).

The product of its digits is 11340, while the sum is 36.

The square root of 1131796512 is about 33642.1835200987. The cubic root of 1131796512 is about 1042.1321249145.

The spelling of 1131796512 in words is "one billion, one hundred thirty-one million, seven hundred ninety-six thousand, five hundred twelve".