Search a number
-
+
2134366120 = 2353113031321
BaseRepresentation
bin111111100110111…
…1101011110101000
312111202012000220001
41333031331132220
513332344203440
6551442512344
7103614545515
oct17715753650
95452160801
102134366120
119a5880947
124b69656b4
13280261243
1416367430c
15c75a4b9a
hex7f37d7a8

2134366120 has 64 divisors (see below), whose sum is σ = 4964797440. Its totient is φ = 824947200.

The previous prime is 2134366111. The next prime is 2134366153. The reversal of 2134366120 is 216634312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615060 + ... + 1616380.

It is an arithmetic number, because the mean of its divisors is an integer number (77574960).

Almost surely, 22134366120 is an apocalyptic number.

2134366120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134366120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482398720).

2134366120 is an abundant number, since it is smaller than the sum of its proper divisors (2830431320).

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

2134366120 is a wasteful number, since it uses less digits than its factorization.

2134366120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 2134366120 is about 46199.2004259814. The cubic root of 2134366120 is about 1287.5268844105.

The spelling of 2134366120 in words is "two billion, one hundred thirty-four million, three hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 1303 1321 2606 2642 5212 5284 6515 6605 10424 10568 13030 13210 26060 26420 40393 40951 52120 52840 80786 81902 161572 163804 201965 204755 323144 327608 403930 409510 807860 819020 1615720 1638040 1721263 3442526 6885052 8606315 13770104 17212630 34425260 53359153 68850520 106718306 213436612 266795765 426873224 533591530 1067183060 2134366120