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4278560 = 2551121317
BaseRepresentation
bin10000010100100100100000
322001101002012
4100110210200
52043403220
6231412052
751236636
oct20244440
98041065
104278560
112462600
121524028
13b6a5c0
147d5356
15597ac5
hex414920

4278560 has 144 divisors (see below), whose sum is σ = 12669048. Its totient is φ = 1351680.

The previous prime is 4278557. The next prime is 4278563. The reversal of 4278560 is 658724.

Added to its reverse (658724) it gives a square (4937284 = 22222).

4278560 = T9 + T10 + ... + T294.

It is an interprime number because it is at equal distance from previous prime (4278557) and next prime (4278563).

It can be written as a sum of positive squares in 4 ways, for example, as 3254416 + 1024144 = 1804^2 + 1012^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4278563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251672 + ... + 251688.

Almost surely, 24278560 is an apocalyptic number.

4278560 is a gapful number since it is divisible by the number (40) 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 4278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6334524).

4278560 is an abundant number, since it is smaller than the sum of its proper divisors (8390488).

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

4278560 is a wasteful number, since it uses less digits than its factorization.

4278560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 4278560 is about 2068.4680321436. The cubic root of 4278560 is about 162.3426168526.

Adding to 4278560 its reverse (658724), we get a square (4937284 = 22222).

The spelling of 4278560 in words is "four million, two hundred seventy-eight thousand, five hundred sixty".