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1132805520 = 243357311139
BaseRepresentation
bin100001110000101…
…0011110110010000
32220221120111001000
41003201103312100
54304444234040
6304223542000
740033455000
oct10341236620
92827514030
101132805520
11531491610
1227745a900
131508c8932
14aa63c000
15696b6130
hex43853d90

1132805520 has 640 divisors, whose sum is σ = 4999680000. Its totient is φ = 233694720.

The previous prime is 1132805483. The next prime is 1132805539. The reversal of 1132805520 is 255082311.

It is a happy number.

1132805520 is a `hidden beast` number, since 1 + 1 + 32 + 80 + 552 + 0 = 666.

It is a super-2 number, since 2×11328055202 = 2566496692284940800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 8149611 + ... + 8149749.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 21132805520 is an apocalyptic number.

1132805520 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 1132805520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499840000).

1132805520 is an abundant number, since it is smaller than the sum of its proper divisors (3866874480).

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

1132805520 is a wasteful number, since it uses less digits than its factorization.

1132805520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1132805520 is about 33657.1763521541. The cubic root of 1132805520 is about 1042.4417233611.

Adding to 1132805520 its reverse (255082311), we get a palindrome (1387887831).

The spelling of 1132805520 in words is "one billion, one hundred thirty-two million, eight hundred five thousand, five hundred twenty".