Search a number
-
+
4265580 = 22351123281
BaseRepresentation
bin10000010001011001101100
322000201021110
4100101121230
52042444310
6231232020
751154044
oct20213154
98021243
104265580
112453880
121518610
13b64717
147d0724
15593d20
hex41166c

4265580 has 96 divisors (see below), whose sum is σ = 13644288. Its totient is φ = 985600.

The previous prime is 4265567. The next prime is 4265593. The reversal of 4265580 is 855624.

It is an interprime number because it is at equal distance from previous prime (4265567) and next prime (4265593).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15040 + ... + 15320.

It is an arithmetic number, because the mean of its divisors is an integer number (142128).

Almost surely, 24265580 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 4265580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6822144).

4265580 is an abundant number, since it is smaller than the sum of its proper divisors (9378708).

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

4265580 is a wasteful number, since it uses less digits than its factorization.

4265580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 4265580 is about 2065.3280611080. The cubic root of 4265580 is about 162.1782826166.

It can be divided in two parts, 426 and 5580, that added together give a palindrome (6006).

The spelling of 4265580 in words is "four million, two hundred sixty-five thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 281 330 345 460 506 562 660 690 759 843 1012 1124 1265 1380 1405 1518 1686 2530 2810 3036 3091 3372 3795 4215 5060 5620 6182 6463 7590 8430 9273 12364 12926 15180 15455 16860 18546 19389 25852 30910 32315 37092 38778 46365 61820 64630 71093 77556 92730 96945 129260 142186 185460 193890 213279 284372 355465 387780 426558 710930 853116 1066395 1421860 2132790 4265580