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1132973160 = 23351117291741
BaseRepresentation
bin100001110000111…
…1100110001101000
32220221212222222220
41003201330301220
54310020120120
6304231314040
740035053514
oct10341746150
92827788886
101132973160
11531596560
1227751b920
13150957027
14aa683144
15696eab40
hex4387cc68

1132973160 has 256 divisors, whose sum is σ = 4063737600. Its totient is φ = 249446400.

The previous prime is 1132973137. The next prime is 1132973197. The reversal of 1132973160 is 613792311.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 649890 + ... + 651630.

It is an arithmetic number, because the mean of its divisors is an integer number (15873975).

Almost surely, 21132973160 is an apocalyptic number.

1132973160 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 1132973160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031868800).

1132973160 is an abundant number, since it is smaller than the sum of its proper divisors (2930764440).

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

1132973160 is a wasteful number, since it uses less digits than its factorization.

1132973160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 1132973160 is about 33659.6666650162. Note that the first 5 decimals coincide. The cubic root of 1132973160 is about 1042.4931432820.

The spelling of 1132973160 in words is "one billion, one hundred thirty-two million, nine hundred seventy-three thousand, one hundred sixty".