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4260640 = 25531859
BaseRepresentation
bin10000010000001100100000
322000110111111
4100100030200
52042320030
6231153104
751133456
oct20201440
98013444
104260640
11245009a
121515794
13b623b7
147cc9d6
1559262a
hex410320

4260640 has 48 divisors (see below), whose sum is σ = 10402560. Its totient is φ = 1647360.

The previous prime is 4260629. The next prime is 4260643. The reversal of 4260640 is 460624.

It is not an unprimeable number, because it can be changed into a prime (4260643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4531 + ... + 5389.

It is an arithmetic number, because the mean of its divisors is an integer number (216720).

Almost surely, 24260640 is an apocalyptic number.

4260640 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 4260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201280).

4260640 is an abundant number, since it is smaller than the sum of its proper divisors (6141920).

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

4260640 is a wasteful number, since it uses less digits than its factorization.

4260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 4260640 is about 2064.1317787389. The cubic root of 4260640 is about 162.1156518066.

It can be divided in two parts, 4260 and 640, that added together give a square (4900 = 702).

The spelling of 4260640 in words is "four million, two hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 859 992 1240 1718 2480 3436 4295 4960 6872 8590 13744 17180 26629 27488 34360 53258 68720 106516 133145 137440 213032 266290 426064 532580 852128 1065160 2130320 4260640