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2130996960 = 253251479859
BaseRepresentation
bin111111100000100…
…0110111011100000
312111111211212021100
41333001012323200
513331013400320
6551242354400
7103544114061
oct17701067340
95444755240
102130996960
119a398a614
124b57bba00
1327c651861
14163038568
15c713b790
hex7f046ee0

2130996960 has 72 divisors (see below), whose sum is σ = 7272032040. Its totient is φ = 568265472.

The previous prime is 2130996949. The next prime is 2130996983. The reversal of 2130996960 is 696990312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×21309969602 = 9082296087058483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738490 + ... + 741369.

It is an arithmetic number, because the mean of its divisors is an integer number (101000445).

Almost surely, 22130996960 is an apocalyptic number.

2130996960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130996960 is an abundant number, since it is smaller than the sum of its proper divisors (5141035080).

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

2130996960 is a wasteful number, since it uses less digits than its factorization.

2130996960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479880 (or 1479869 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 2130996960 is about 46162.7226233462. The cubic root of 2130996960 is about 1286.8490612177.

The spelling of 2130996960 in words is "two billion, one hundred thirty million, nine hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1479859 2959718 4439577 5919436 7399295 8879154 11838872 13318731 14798590 17758308 22197885 23677744 26637462 29597180 35516616 44395770 47355488 53274924 59194360 66593655 71033232 88791540 106549848 118388720 133187310 142066464 177583080 213099696 236777440 266374620 355166160 426199392 532749240 710332320 1065498480 2130996960