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1132272000 = 2733532621
BaseRepresentation
bin100001101111101…
…0001100110000000
32220220120101012000
41003133101212000
54304330201000
6304204304000
740026103356
oct10337214600
92826511160
101132272000
11531157792
12277242000
1315076cb42
14aa53d7d6
156960d000
hex437d1980

1132272000 has 256 divisors, whose sum is σ = 4172126400. Its totient is φ = 301824000.

The previous prime is 1132271989. The next prime is 1132272013. The reversal of 1132272000 is 2722311.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 430690 + ... + 433310.

Almost surely, 21132272000 is an apocalyptic number.

1132272000 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 1132272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086063200).

1132272000 is an abundant number, since it is smaller than the sum of its proper divisors (3039854400).

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

1132272000 is an equidigital number, since it uses as much as digits as its factorization.

1132272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1132272000 is about 33649.2496201624. The cubic root of 1132272000 is about 1042.2780439434.

Adding to 1132272000 its reverse (2722311), we get a palindrome (1134994311).

The spelling of 1132272000 in words is "one billion, one hundred thirty-two million, two hundred seventy-two thousand".