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4065280 = 2115397
BaseRepresentation
bin1111100000100000000000
321122112111221
433200200000
52020042110
6223044424
746361062
oct17404000
97575457
104065280
11232733a
121440714
13ac44bb
1477b732
155547da
hex3e0800

4065280 has 48 divisors (see below), whose sum is σ = 9778860. Its totient is φ = 1622016.

The previous prime is 4065241. The next prime is 4065283. The reversal of 4065280 is 825604.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 1024 = 2016^2 + 32^2 .

It is not an unprimeable number, because it can be changed into a prime (4065283) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10042 + ... + 10438.

Almost surely, 24065280 is an apocalyptic number.

4065280 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 4065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889430).

4065280 is an abundant number, since it is smaller than the sum of its proper divisors (5713580).

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

4065280 is an equidigital number, since it uses as much as digits as its factorization.

4065280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4065280 is about 2016.2539522590. The cubic root of 4065280 is about 159.5989958124.

The spelling of 4065280 in words is "four million, sixty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 397 512 640 794 1024 1280 1588 1985 2048 2560 3176 3970 5120 6352 7940 10240 12704 15880 25408 31760 50816 63520 101632 127040 203264 254080 406528 508160 813056 1016320 2032640 4065280