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1132114000 = 2453566057
BaseRepresentation
bin100001101111010…
…1011000001010000
32220220021100110011
41003132223001100
54304310122000
6304201044304
740024544623
oct10336530120
92826240404
101132114000
1153105a006
12277186694
13150715c54
14aa4dbdba
15695cb2ba
hex437ab050

1132114000 has 40 divisors (see below), whose sum is σ = 2737456488. Its totient is φ = 452844800.

The previous prime is 1132113967. The next prime is 1132114013. The reversal of 1132114000 is 4112311.

It can be written as a sum of positive squares in 4 ways, for example, as 143137296 + 988976704 = 11964^2 + 31448^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 281029 + ... + 285028.

Almost surely, 21132114000 is an apocalyptic number.

1132114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132114000 is an abundant number, since it is smaller than the sum of its proper divisors (1605342488).

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

1132114000 is an equidigital number, since it uses as much as digits as its factorization.

1132114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566080 (or 566064 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1132114000 is about 33646.9017890206. The cubic root of 1132114000 is about 1042.2295610136.

Adding to 1132114000 its reverse (4112311), we get a palindrome (1136226311).

The spelling of 1132114000 in words is "one billion, one hundred thirty-two million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 566057 1132114 2264228 2830285 4528456 5660570 9056912 11321140 14151425 22642280 28302850 45284560 56605700 70757125 113211400 141514250 226422800 283028500 566057000 1132114000