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1133132000 = 255371113283
BaseRepresentation
bin100001110001010…
…0011100011100000
32220222012001212212
41003202203203200
54310040211000
6304234541252
740036314560
oct10342434340
92828161785
101133132000
11531694930
12277597828
131509b1410
14aa6c4da0
156972cc35
hex438a38e0

1133132000 has 384 divisors, whose sum is σ = 3751308288. Its totient is φ = 324864000.

The previous prime is 1133131999. The next prime is 1133132009. The reversal of 1133132000 is 2313311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133132009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4003859 + ... + 4004141.

It is an arithmetic number, because the mean of its divisors is an integer number (9769032).

Almost surely, 21133132000 is an apocalyptic number.

1133132000 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 1133132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875654144).

1133132000 is an abundant number, since it is smaller than the sum of its proper divisors (2618176288).

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

1133132000 is a wasteful number, since it uses less digits than its factorization.

1133132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1133132000 is about 33662.0260828133. The cubic root of 1133132000 is about 1042.5418593148.

Adding to 1133132000 its reverse (2313311), we get a palindrome (1135445311).

The spelling of 1133132000 in words is "one billion, one hundred thirty-three million, one hundred thirty-two thousand".