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2132303920 = 245101263899
BaseRepresentation
bin111111100011000…
…0110000000110000
312111121022021002021
41333012012000300
513331332211140
6551330401224
7103561166335
oct17706060060
95447267067
102132303920
119a46a254a
124b6130214
1327c9bb6c6
1416329898c
15c72e8b4a
hex7f186030

2132303920 has 40 divisors (see below), whose sum is σ = 5006710800. Its totient is φ = 844473600.

The previous prime is 2132303917. The next prime is 2132303977. The reversal of 2132303920 is 293032312.

2132303920 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 2.

It is an unprimeable number.

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, 123870 + ... + 140029.

It is an arithmetic number, because the mean of its divisors is an integer number (125167770).

Almost surely, 22132303920 is an apocalyptic number.

2132303920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132303920 is an abundant number, since it is smaller than the sum of its proper divisors (2874406880).

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

2132303920 is a wasteful number, since it uses less digits than its factorization.

2132303920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264013 (or 264007 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 2132303920 is about 46176.8764643084. The cubic root of 2132303920 is about 1287.1120862343.

The spelling of 2132303920 in words is "two billion, one hundred thirty-two million, three hundred three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 263899 527798 1055596 1319495 2111192 2638990 4222384 5277980 10555960 21111920 26653799 53307598 106615196 133268995 213230392 266537990 426460784 533075980 1066151960 2132303920