Search a number
-
+
2134616080 = 24526682701
BaseRepresentation
bin111111100111011…
…1010100000010000
312111202122201202211
41333032322200100
513332430203310
6551452121504
7103616636332
oct17716724020
95452581684
102134616080
119a5a31723
124b6a66294
1328031ac4c
141636db452
15c7603c8a
hex7f3ba810

2134616080 has 20 divisors (see below), whose sum is σ = 4962982572. Its totient is φ = 853846400.

The previous prime is 2134616041. The next prime is 2134616089. The reversal of 2134616080 is 806164312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1682968576 + 451647504 = 41024^2 + 21252^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×21346160803 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2134616089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13341271 + ... + 13341430.

Almost surely, 22134616080 is an apocalyptic number.

2134616080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134616080 is an abundant number, since it is smaller than the sum of its proper divisors (2828366492).

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

2134616080 is a wasteful number, since it uses less digits than its factorization.

2134616080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26682714 (or 26682708 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2134616080 is about 46201.9055884062. The cubic root of 2134616080 is about 1287.5771440878.

The spelling of 2134616080 in words is "two billion, one hundred thirty-four million, six hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26682701 53365402 106730804 133413505 213461608 266827010 426923216 533654020 1067308040 2134616080