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1132012000 = 2553740429
BaseRepresentation
bin100001101111001…
…0010000111100000
32220220002011112101
41003132102013200
54304243341000
6304154540144
740023641350
oct10336220740
92826064471
101132012000
11530a9a409
12277137654
131506ab6b2
14aa4b2b60
15695aae6a
hex437921e0

1132012000 has 96 divisors (see below), whose sum is σ = 3178768320. Its totient is φ = 388108800.

The previous prime is 1132011989. The next prime is 1132012043. The reversal of 1132012000 is 2102311.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7786 + ... + 48214.

It is an arithmetic number, because the mean of its divisors is an integer number (33112170).

Almost surely, 21132012000 is an apocalyptic number.

1132012000 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 1132012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589384160).

1132012000 is an abundant number, since it is smaller than the sum of its proper divisors (2046756320).

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

1132012000 is an equidigital number, since it uses as much as digits as its factorization.

1132012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40461 (or 40443 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1132012000 is about 33645.3860135383. The cubic root of 1132012000 is about 1042.1982595110.

Adding to 1132012000 its reverse (2102311), we get a palindrome (1134114311).

The spelling of 1132012000 in words is "one billion, one hundred thirty-two million, twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 40429 80858 161716 202145 283003 323432 404290 566006 646864 808580 1010725 1132012 1293728 1415015 1617160 2021450 2264024 2830030 3234320 4042900 4528048 5053625 5660060 6468640 7075075 8085800 9056096 10107250 11320120 14150150 16171600 20214500 22640240 28300300 32343200 35375375 40429000 45280480 56600600 70750750 80858000 113201200 141501500 161716000 226402400 283003000 566006000 1132012000