Search a number
-
+
2075110080 = 263519293923
BaseRepresentation
bin111101110101111…
…1010101011000000
312100121200111212220
41323223322223000
513222212010310
6541524451040
7102265100421
oct17353725300
95317614786
102075110080
11975388a0a
1249ab49a80
13270bb4ab4
1415984b648
15c229c670
hex7bafaac0

2075110080 has 224 divisors, whose sum is σ = 7176211200. Its totient is φ = 506032128.

The previous prime is 2075110073. The next prime is 2075110123. The reversal of 2075110080 is 800115702.

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 2075110080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526999 + ... + 530921.

Almost surely, 22075110080 is an apocalyptic number.

2075110080 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 2075110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588105600).

2075110080 is an abundant number, since it is smaller than the sum of its proper divisors (5101101120).

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

2075110080 is a wasteful number, since it uses less digits than its factorization.

2075110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 2075110080 is about 45553.3761646708. The cubic root of 2075110080 is about 1275.4997564130.

Adding to 2075110080 its reverse (800115702), we get a palindrome (2875225782).

The spelling of 2075110080 in words is "two billion, seventy-five million, one hundred ten thousand, eighty".