Search a number
-
+
270082064 = 24753173263
BaseRepresentation
bin10000000110010…
…010000000010000
3200211012120221102
4100012102000100
51023120111224
642444443532
76456442160
oct2006220020
9624176842
10270082064
111294aa71a
12765495a8
1343c54295
1427c265a0
1518a9e4ae
hex10192010

270082064 has 80 divisors (see below), whose sum is σ = 615174912. Its totient is φ = 112479744.

The previous prime is 270082063. The next prime is 270082147. The reversal of 270082064 is 460280072.

It is not an unprimeable number, because it can be changed into a prime (270082061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026797 + ... + 1027059.

Almost surely, 2270082064 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 270082064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307587456).

270082064 is an abundant number, since it is smaller than the sum of its proper divisors (345092848).

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

270082064 is a wasteful number, since it uses less digits than its factorization.

270082064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 270082064 is about 16434.1736634368. The cubic root of 270082064 is about 646.3958824240.

The spelling of 270082064 in words is "two hundred seventy million, eighty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 173 212 263 346 371 424 526 692 742 848 1052 1211 1384 1484 1841 2104 2422 2768 2968 3682 4208 4844 5936 7364 9169 9688 13939 14728 18338 19376 27878 29456 36676 45499 55756 64183 73352 90998 97573 111512 128366 146704 181996 195146 223024 256732 318493 363992 390292 513464 636986 727984 780584 1026928 1273972 1561168 2411447 2547944 4822894 5095888 9645788 16880129 19291576 33760258 38583152 67520516 135041032 270082064