Search a number
-
+
4265280 = 263251481
BaseRepresentation
bin10000010001010101000000
322000200212100
4100101111000
52042442110
6231230400
751153135
oct20212500
98020770
104265280
112453628
121518400
13b64546
147d058c
15593bc0
hex411540

4265280 has 84 divisors (see below), whose sum is σ = 14680692. Its totient is φ = 1136640.

The previous prime is 4265273. The next prime is 4265293. The reversal of 4265280 is 825624.

4265280 is a `hidden beast` number, since 4 + 2 + 652 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1679616 + 2585664 = 1296^2 + 1608^2 .

It is a super-2 number, since 2×42652802 = 36385226956800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2140 + ... + 3620.

Almost surely, 24265280 is an apocalyptic number.

4265280 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 4265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340346).

4265280 is an abundant number, since it is smaller than the sum of its proper divisors (10415412).

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

4265280 is a wasteful number, since it uses less digits than its factorization.

4265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4265280 is about 2065.2554321439. The cubic root of 4265280 is about 162.1744805057.

The spelling of 4265280 in words is "four million, two hundred sixty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 1481 2880 2962 4443 5924 7405 8886 11848 13329 14810 17772 22215 23696 26658 29620 35544 44430 47392 53316 59240 66645 71088 88860 94784 106632 118480 133290 142176 177720 213264 236960 266580 284352 355440 426528 473920 533160 710880 853056 1066320 1421760 2132640 4265280