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1132831980 = 22355726771
BaseRepresentation
bin100001110000101…
…1010010011101100
32220221121211100000
41003201122103230
54310001110410
6304224304300
740033625100
oct10341322354
92827554300
101132831980
115314aa485
12277472090
131509079a7
14aa647900
15696bddc0
hex4385a4ec

1132831980 has 432 divisors, whose sum is σ = 4266452736. Its totient is φ = 251475840.

The previous prime is 1132831963. The next prime is 1132831991. The reversal of 1132831980 is 891382311.

1132831980 is a `hidden beast` number, since 11 + 328 + 319 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15955345 + ... + 15955415.

It is an arithmetic number, because the mean of its divisors is an integer number (9876048).

Almost surely, 21132831980 is an apocalyptic number.

1132831980 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 1132831980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133226368).

1132831980 is an abundant number, since it is smaller than the sum of its proper divisors (3133620756).

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

1132831980 is a wasteful number, since it uses less digits than its factorization.

1132831980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1132831980 is about 33657.5694309616. The cubic root of 1132831980 is about 1042.4498397272.

The spelling of 1132831980 in words is "one billion, one hundred thirty-two million, eight hundred thirty-one thousand, nine hundred eighty".