Search a number
-
+
2114054160 = 24358808559
BaseRepresentation
bin111111000000001…
…1110100000010000
312110022222002010020
41332000132200100
513312144213120
6545435303440
7103250110131
oct17600364020
95408862106
102114054160
119953681a9
124abbaab80
13278c9bb2a
14160aa7c88
15c58e1640
hex7e01e810

2114054160 has 40 divisors (see below), whose sum is σ = 6553568640. Its totient is φ = 563747712.

The previous prime is 2114054143. The next prime is 2114054191. The reversal of 2114054160 is 614504112.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2114054160.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4404040 + ... + 4404519.

It is an arithmetic number, because the mean of its divisors is an integer number (163839216).

Almost surely, 22114054160 is an apocalyptic number.

2114054160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114054160 is an abundant number, since it is smaller than the sum of its proper divisors (4439514480).

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

2114054160 is a wasteful number, since it uses less digits than its factorization.

2114054160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808575 (or 8808569 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2114054160 is about 45978.8447005794. The cubic root of 2114054160 is about 1283.4295560992.

Adding to 2114054160 its reverse (614504112), we get a palindrome (2728558272).

The spelling of 2114054160 in words is "two billion, one hundred fourteen million, fifty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8808559 17617118 26425677 35234236 44042795 52851354 70468472 88085590 105702708 132128385 140936944 176171180 211405416 264256770 352342360 422810832 528513540 704684720 1057027080 2114054160