Search a number
-
+
2045160000 = 263254131923
BaseRepresentation
bin111100111100110…
…1010101001000000
312021112022220002200
41321321222221000
513142030110000
6534534513200
7101452400412
oct17171525100
95245286080
102045160000
1195a491a84
12490b05800
13267929760
141558929b2
15be833500
hex79e6aa40

2045160000 has 840 divisors, whose sum is σ = 8664976320. Its totient is φ = 456192000.

The previous prime is 2045159957. The next prime is 2045160017. The reversal of 2045160000 is 615402.

It is a happy number.

2045160000 is a `hidden beast` number, since 20 + 45 + 1 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88919989 + ... + 88920011.

It is an arithmetic number, because the mean of its divisors is an integer number (10315448).

Almost surely, 22045160000 is an apocalyptic number.

2045160000 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 2045160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332488160).

2045160000 is an abundant number, since it is smaller than the sum of its proper divisors (6619816320).

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

2045160000 is a wasteful number, since it uses less digits than its factorization.

2045160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2045160000 is about 45223.4452469071. The cubic root of 2045160000 is about 1269.3335623465. Note that the first 3 decimals are identical.

Adding to 2045160000 its reverse (615402), we get a palindrome (2045775402).

The spelling of 2045160000 in words is "two billion, forty-five million, one hundred sixty thousand".