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2143004064 = 253193115663
BaseRepresentation
bin111111110111011…
…1010010110100000
312112100102212220220
41333232322112200
513342102112224
6552352003040
7104051143155
oct17756722640
95470385826
102143004064
119aa740743
124b9830480
13281c96b56
1416488222c
15c820e279
hex7fbba5a0

2143004064 has 48 divisors (see below), whose sum is σ = 5654581632. Its totient is φ = 710627328.

The previous prime is 2143004027. The next prime is 2143004081. The reversal of 2143004064 is 4604003412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39304 + ... + 76359.

It is an arithmetic number, because the mean of its divisors is an integer number (117803784).

Almost surely, 22143004064 is an apocalyptic number.

2143004064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2143004064 is an abundant number, since it is smaller than the sum of its proper divisors (3511577568).

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

2143004064 is a wasteful number, since it uses less digits than its factorization.

2143004064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115869 (or 115861 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2143004064 is about 46292.5918911439. The cubic root of 2143004064 is about 1289.2614533395.

Adding to 2143004064 its reverse (4604003412), we get a palindrome (6747007476).

The spelling of 2143004064 in words is "two billion, one hundred forty-three million, four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1544 2316 3088 4632 6176 9264 18528 115663 231326 346989 462652 693978 925304 1387956 1850608 2775912 3701216 5551824 11103648 22322959 44645918 66968877 89291836 133937754 178583672 267875508 357167344 535751016 714334688 1071502032 2143004064