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1132320420 = 22325721121061
BaseRepresentation
bin100001101111101…
…1101011010100100
32220220122211121100
41003133131122210
54304333223140
6304205320100
740026364500
oct10337353244
92826584540
101132320420
11531190100
12277266030
13150788baa
14aa553300
156961c530
hex437dd6a4

1132320420 has 324 divisors, whose sum is σ = 4395858012. Its totient is φ = 235065600.

The previous prime is 1132320407. The next prime is 1132320433. The reversal of 1132320420 is 240232311.

1132320420 is a `hidden beast` number, since 1 + 13 + 232 + 0 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (1132320407) and next prime (1132320433).

It can be written as a sum of positive squares in 2 ways, for example, as 577152576 + 555167844 = 24024^2 + 23562^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1132320393 and 1132320402.

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 107 ways as a sum of consecutive naturals, for example, 1066690 + ... + 1067750.

It is an arithmetic number, because the mean of its divisors is an integer number (13567463).

Almost surely, 21132320420 is an apocalyptic number.

1132320420 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 1132320420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197929006).

1132320420 is an abundant number, since it is smaller than the sum of its proper divisors (3263537592).

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

1132320420 is a wasteful number, since it uses less digits than its factorization.

1132320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1132320420 is about 33649.9690935965. The cubic root of 1132320420 is about 1042.2929009104.

Adding to 1132320420 its reverse (240232311), we get a palindrome (1372552731).

The spelling of 1132320420 in words is "one billion, one hundred thirty-two million, three hundred twenty thousand, four hundred twenty".