Search a number
-
+
2120004320 = 25571892861
BaseRepresentation
bin111111001011100…
…1011001011100000
312110202011101012112
41332113023023200
513320210114240
6550211014452
7103351511420
oct17627131340
95422141175
102120004320
11998761695
124b1b9a428
1327a2a3235
141617b6480
15c61b9665
hex7e5cb2e0

2120004320 has 48 divisors (see below), whose sum is σ = 5724014688. Its totient is φ = 726858240.

The previous prime is 2120004319. The next prime is 2120004353. The reversal of 2120004320 is 234000212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2120004295 and 2120004304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 945311 + ... + 947550.

It is an arithmetic number, because the mean of its divisors is an integer number (119250306).

Almost surely, 22120004320 is an apocalyptic number.

2120004320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120004320 is an abundant number, since it is smaller than the sum of its proper divisors (3604010368).

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

2120004320 is a wasteful number, since it uses less digits than its factorization.

2120004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892883 (or 1892875 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2120004320 is about 46043.5046450637. The cubic root of 2120004320 is about 1284.6325302919.

Adding to 2120004320 its reverse (234000212), we get a palindrome (2354004532).

The spelling of 2120004320 in words is "two billion, one hundred twenty million, four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1892861 3785722 7571444 9464305 13250027 15142888 18928610 26500054 30285776 37857220 53000108 60571552 66250135 75714440 106000216 132500270 151428880 212000432 265000540 302857760 424000864 530001080 1060002160 2120004320