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1320200144 = 24174853677
BaseRepresentation
bin100111010110000…
…1010011111010000
310102000012010010122
41032230022133100
510200432401034
6335000245412
744500342004
oct11654123720
93360163118
101320200144
116182449aa
1230a170868
1318068b523
14c749c704
157ad8062e
hex4eb0a7d0

1320200144 has 20 divisors (see below), whose sum is σ = 2708352324. Its totient is φ = 621270528.

The previous prime is 1320200129. The next prime is 1320200153. The reversal of 1320200144 is 4410020231.

It can be written as a sum of positive squares in 2 ways, for example, as 689587600 + 630612544 = 26260^2 + 25112^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2426567 + ... + 2427110.

Almost surely, 21320200144 is an apocalyptic number.

It is an amenable number.

1320200144 is an abundant number, since it is smaller than the sum of its proper divisors (1388152180).

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

1320200144 is a wasteful number, since it uses less digits than its factorization.

1320200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853702 (or 4853696 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1320200144 is about 36334.5585359173. The cubic root of 1320200144 is about 1097.0167496605.

Adding to 1320200144 its reverse (4410020231), we get a palindrome (5730220375).

The spelling of 1320200144 in words is "one billion, three hundred twenty million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 4853677 9707354 19414708 38829416 77658832 82512509 165025018 330050036 660100072 1320200144