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4260672 = 263213569
BaseRepresentation
bin10000010000001101000000
322000110112200
4100100031000
52042320142
6231153200
751133533
oct20201500
98013480
104260672
112450119
121515800
13b62410
147cca1a
1559264c
hex410340

4260672 has 84 divisors (see below), whose sum is σ = 13174980. Its totient is φ = 1308672.

The previous prime is 4260649. The next prime is 4260677. The reversal of 4260672 is 2760624.

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 3594816 = 816^2 + 1896^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4260677) 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 11 ways as a sum of consecutive naturals, for example, 7204 + ... + 7772.

It is an arithmetic number, because the mean of its divisors is an integer number (156845).

Almost surely, 24260672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4260672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587490).

4260672 is an abundant number, since it is smaller than the sum of its proper divisors (8914308).

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

4260672 is a wasteful number, since it uses less digits than its factorization.

4260672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4260672 is about 2064.1395301675. The cubic root of 4260672 is about 162.1160576680.

The spelling of 4260672 in words is "four million, two hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 569 576 624 832 936 1138 1248 1707 1872 2276 2496 3414 3744 4552 5121 6828 7397 7488 9104 10242 13656 14794 18208 20484 22191 27312 29588 36416 40968 44382 54624 59176 66573 81936 88764 109248 118352 133146 163872 177528 236704 266292 327744 355056 473408 532584 710112 1065168 1420224 2130336 4260672