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4266240 = 283511101
BaseRepresentation
bin10000010001100100000000
322000202011220
4100101210000
52043004430
6231235040
751156006
oct20214400
98022156
104266240
112454320
121518a80
13b64b04
147d0a76
15594110
hex411900

4266240 has 144 divisors (see below), whose sum is σ = 15011136. Its totient is φ = 1024000.

The previous prime is 4266221. The next prime is 4266253. The reversal of 4266240 is 426624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4266240.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42190 + ... + 42290.

It is an arithmetic number, because the mean of its divisors is an integer number (104244).

Almost surely, 24266240 is an apocalyptic number.

4266240 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 4266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505568).

4266240 is an abundant number, since it is smaller than the sum of its proper divisors (10744896).

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

4266240 is a wasteful number, since it uses less digits than its factorization.

4266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4266240 is about 2065.4878358393. The cubic root of 4266240 is about 162.1866466333.

It can be divided in two parts, 426 and 6240, that added together give a palindrome (6666).

The spelling of 4266240 in words is "four million, two hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 101 110 120 128 132 160 165 176 192 202 220 240 256 264 303 320 330 352 384 404 440 480 505 528 606 640 660 704 768 808 880 960 1010 1056 1111 1212 1280 1320 1408 1515 1616 1760 1920 2020 2112 2222 2424 2640 2816 3030 3232 3333 3520 3840 4040 4224 4444 4848 5280 5555 6060 6464 6666 7040 8080 8448 8888 9696 10560 11110 12120 12928 13332 14080 16160 16665 17776 19392 21120 22220 24240 25856 26664 32320 33330 35552 38784 42240 44440 48480 53328 64640 66660 71104 77568 88880 96960 106656 129280 133320 142208 177760 193920 213312 266640 284416 355520 387840 426624 533280 711040 853248 1066560 1422080 2133120 4266240