Search a number
-
+
2485280 = 25572317
BaseRepresentation
bin1001011110110000100000
311200021011102
421132300200
51114012110
6125133532
730060500
oct11366040
94607142
102485280
111448256
129ba2a8
136902a5
14489a00
153415a5
hex25ec20

2485280 has 72 divisors (see below), whose sum is σ = 6851628. Its totient is φ = 849408.

The previous prime is 2485279. The next prime is 2485283. The reversal of 2485280 is 825842.

It can be written as a sum of positive squares in 2 ways, for example, as 2202256 + 283024 = 1484^2 + 532^2 .

It is not an unprimeable number, because it can be changed into a prime (2485283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7682 + ... + 7998.

22485280 is an apocalyptic number.

2485280 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 2485280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425814).

2485280 is an abundant number, since it is smaller than the sum of its proper divisors (4366348).

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

2485280 is a wasteful number, since it uses less digits than its factorization.

2485280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 2485280 is about 1576.4770851490. The cubic root of 2485280 is about 135.4539814590.

The spelling of 2485280 in words is "two million, four hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 317 392 490 560 634 784 980 1120 1268 1568 1585 1960 2219 2536 3170 3920 4438 5072 6340 7840 8876 10144 11095 12680 15533 17752 22190 25360 31066 35504 44380 50720 62132 71008 77665 88760 124264 155330 177520 248528 310660 355040 497056 621320 1242640 2485280