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1164530000 = 24541011153
BaseRepresentation
bin100010101101001…
…0101000101010000
310000011021020211202
41011122111011100
54341104430000
6311315530332
740600225124
oct10532250520
93004236752
101164530000
1154838a697
12285bb99a8
1315735580a
14b0939584
156c380dd5
hex45695150

1164530000 has 100 divisors (see below), whose sum is σ = 2849828388. Its totient is φ = 460800000.

The previous prime is 1164529963. The next prime is 1164530009. The reversal of 1164530000 is 354611.

It can be written as a sum of positive squares in 10 ways, for example, as 394578496 + 769951504 = 19864^2 + 27748^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×11645300002 = 2712260241800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164530009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1009424 + ... + 1010576.

Almost surely, 21164530000 is an apocalyptic number.

1164530000 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 1164530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424914194).

1164530000 is an abundant number, since it is smaller than the sum of its proper divisors (1685298388).

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

1164530000 is a wasteful number, since it uses less digits than its factorization.

1164530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1164530000 is about 34125.2106220606. The cubic root of 1164530000 is about 1052.0835423542.

Adding to 1164530000 its reverse (354611), we get a palindrome (1164884611).

The spelling of 1164530000 in words is "one billion, one hundred sixty-four million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 625 808 1000 1010 1153 1250 1616 2000 2020 2306 2500 2525 4040 4612 5000 5050 5765 8080 9224 10000 10100 11530 12625 18448 20200 23060 25250 28825 40400 46120 50500 57650 63125 92240 101000 115300 116453 126250 144125 202000 230600 232906 252500 288250 461200 465812 505000 576500 582265 720625 931624 1010000 1153000 1164530 1441250 1863248 2306000 2329060 2882500 2911325 4658120 5765000 5822650 9316240 11530000 11645300 14556625 23290600 29113250 46581200 58226500 72783125 116453000 145566250 232906000 291132500 582265000 1164530000