Search a number
-
+
2133364320 = 253251481503
BaseRepresentation
bin111111100101000…
…1000111001100000
312111200022010200100
41333022020321200
513332120124240
6551405222400
7103603204023
oct17712107140
95450263610
102133364320
119a525720a
124b6561a00
1327cca0269
141634931ba
15c7457e30
hex7f288e60

2133364320 has 72 divisors (see below), whose sum is σ = 7280110656. Its totient is φ = 568896768.

The previous prime is 2133364307. The next prime is 2133364339. The reversal of 2133364320 is 234633312.

It is a happy number.

2133364320 is a `hidden beast` number, since 2 + 1 + 3 + 336 + 4 + 320 = 666.

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

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, 739312 + ... + 742191.

It is an arithmetic number, because the mean of its divisors is an integer number (101112648).

Almost surely, 22133364320 is an apocalyptic number.

2133364320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133364320 is an abundant number, since it is smaller than the sum of its proper divisors (5146746336).

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

2133364320 is a wasteful number, since it uses less digits than its factorization.

2133364320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481524 (or 1481513 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 2133364320 is about 46188.3569744584. The cubic root of 2133364320 is about 1287.3254122144.

Adding to 2133364320 its reverse (234633312), we get a palindrome (2367997632).

The spelling of 2133364320 in words is "two billion, one hundred thirty-three million, three hundred sixty-four thousand, three hundred twenty".

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 1481503 2963006 4444509 5926012 7407515 8889018 11852024 13333527 14815030 17778036 22222545 23704048 26667054 29630060 35556072 44445090 47408096 53334108 59260120 66667635 71112144 88890180 106668216 118520240 133335270 142224288 177780360 213336432 237040480 266670540 355560720 426672864 533341080 711121440 1066682160 2133364320