Search a number
-
+
2670551072 = 257293741271
BaseRepresentation
bin1001111100101101…
…0110000000100000
320220010010001100222
42133023112000200
520432130113242
61120555102212
7123115211120
oct23713260040
96803101328
102670551072
111150502602
12626441968
13337375547
141b4968c80
151096b95d2
hex9f2d6020

2670551072 has 192 divisors, whose sum is σ = 6563773440. Its totient is φ = 1045094400.

The previous prime is 2670551071. The next prime is 2670551153. The reversal of 2670551072 is 2701550762.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2670551071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9854297 + ... + 9854567.

It is an arithmetic number, because the mean of its divisors is an integer number (34186320).

Almost surely, 22670551072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2670551072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281886720).

2670551072 is an abundant number, since it is smaller than the sum of its proper divisors (3893222368).

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

2670551072 is a wasteful number, since it uses less digits than its factorization.

2670551072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 35.

The square root of 2670551072 is about 51677.3748559270. The cubic root of 2670551072 is about 1387.3955460906.

It can be divided in two parts, 26705 and 51072, that added together give a palindrome (77777).

The spelling of 2670551072 in words is "two billion, six hundred seventy million, five hundred fifty-one thousand, seventy-two".