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1132424964 = 22321122389127
BaseRepresentation
bin100001101111111…
…0110111100000100
32220220212011000100
41003133312330010
54304400044324
6304211444100
740030311336
oct10337667404
92826764010
101132424964
11531251700
122772b6630
131507c4658
14aa57d456
156963d4c9
hex437f6f04

1132424964 has 216 divisors, whose sum is σ = 3346237440. Its totient is φ = 321995520.

The previous prime is 1132424959. The next prime is 1132424981. The reversal of 1132424964 is 4694242311.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8916669 + ... + 8916795.

It is an arithmetic number, because the mean of its divisors is an integer number (15491840).

Almost surely, 21132424964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132424964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673118720).

1132424964 is an abundant number, since it is smaller than the sum of its proper divisors (2213812476).

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

1132424964 is a wasteful number, since it uses less digits than its factorization.

1132424964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 255 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1132424964 is about 33651.5224618441. The cubic root of 1132424964 is about 1042.3249772597.

The spelling of 1132424964 in words is "one billion, one hundred thirty-two million, four hundred twenty-four thousand, nine hundred sixty-four".