Search a number
-
+
2114638920 = 233351957999
BaseRepresentation
bin111111000001010…
…1101010001001000
312110101001210021000
41332002231101020
513312321421140
6545500015000
7103255064022
oct17602552110
95411053230
102114638920
11995727579
124b0231460
13279145044
14160bbb012
15c59a9a30
hex7e0ad448

2114638920 has 64 divisors (see below), whose sum is σ = 7048800000. Its totient is φ = 563903424.

The previous prime is 2114638861. The next prime is 2114638927. The reversal of 2114638920 is 298364112.

2114638920 is a `hidden beast` number, since 2 + 1 + 14 + 638 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2114638927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977920 + ... + 980079.

It is an arithmetic number, because the mean of its divisors is an integer number (110137500).

Almost surely, 22114638920 is an apocalyptic number.

2114638920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114638920 is an abundant number, since it is smaller than the sum of its proper divisors (4934161080).

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

2114638920 is a wasteful number, since it uses less digits than its factorization.

2114638920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958019 (or 1958009 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2114638920 is about 45985.2032723571. The cubic root of 2114638920 is about 1283.5478799489.

The spelling of 2114638920 in words is "two billion, one hundred fourteen million, six hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1957999 3915998 5873997 7831996 9789995 11747994 15663992 17621991 19579990 23495988 29369985 35243982 39159980 46991976 52865973 58739970 70487964 78319960 88109955 105731946 117479940 140975928 176219910 211463892 234959880 264329865 352439820 422927784 528659730 704879640 1057319460 2114638920