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1144616020 = 225283720173
BaseRepresentation
bin100010000111001…
…0111010001010100
32221202210111222221
41010032113101110
54321010203040
6305325032124
740236034642
oct10416272124
92852714887
101144616020
11538118a59
1227b3b5644
131531a25b2
14ac034192
156a74a74a
hex44397454

1144616020 has 24 divisors (see below), whose sum is σ = 2404660104. Its totient is φ = 457662336.

The previous prime is 1144616009. The next prime is 1144616021. The reversal of 1144616020 is 206164411.

It can be written as a sum of positive squares in 4 ways, for example, as 168428484 + 976187536 = 12978^2 + 31244^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144616021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46654 + ... + 66826.

It is an arithmetic number, because the mean of its divisors is an integer number (100194171).

Almost surely, 21144616020 is an apocalyptic number.

1144616020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144616020 is an abundant number, since it is smaller than the sum of its proper divisors (1260044084).

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

1144616020 is a wasteful number, since it uses less digits than its factorization.

1144616020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23019 (or 23017 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1144616020 is about 33832.1743315442. The cubic root of 1144616020 is about 1046.0519979951.

The spelling of 1144616020 in words is "one billion, one hundred forty-four million, six hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 20 2837 5674 11348 14185 20173 28370 40346 56740 80692 100865 201730 403460 57230801 114461602 228923204 286154005 572308010 1144616020