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1142255520 = 2536571399
BaseRepresentation
bin100010000010101…
…0110111110100000
32221121100121000000
41010011112332200
54314404134040
6305202300000
740210004010
oct10405267640
92847317000
101142255520
1153685652a
1227a657600
13152857053
14ab9bbc40
156a431130
hex44156fa0

1142255520 has 336 divisors, whose sum is σ = 4627324800. Its totient is φ = 260900352.

The previous prime is 1142255501. The next prime is 1142255533. The reversal of 1142255520 is 255522411.

1142255520 is a `hidden beast` number, since 114 + 2 + 25 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

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 55 ways as a sum of consecutive naturals, for example, 815781 + ... + 817179.

It is an arithmetic number, because the mean of its divisors is an integer number (13771800).

Almost surely, 21142255520 is an apocalyptic number.

1142255520 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 1142255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313662400).

1142255520 is an abundant number, since it is smaller than the sum of its proper divisors (3485069280).

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

1142255520 is an equidigital number, since it uses as much as digits as its factorization.

1142255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1142255520 is about 33797.2708957395. The cubic root of 1142255520 is about 1045.3324247846.

Adding to 1142255520 its reverse (255522411), we get a palindrome (1397777931).

The spelling of 1142255520 in words is "one billion, one hundred forty-two million, two hundred fifty-five thousand, five hundred twenty".