[go: up one dir, main page]

Search a number
-
+
3325560 = 2335737107
BaseRepresentation
bin1100101011111001111000
320020221210220
430223321320
51322404220
6155140040
740160340
oct14537170
96227726
103325560
1119715a7
121144620
138c58b4
14627d20
1545a540
hex32be78

3325560 has 128 divisors (see below), whose sum is σ = 11819520. Its totient is φ = 732672.

The previous prime is 3325549. The next prime is 3325573. The reversal of 3325560 is 655233.

It is a super-2 number, since 2×33255602 = 22118698627200, which contains 22 as substring.

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 3325560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31027 + ... + 31133.

It is an arithmetic number, because the mean of its divisors is an integer number (92340).

Almost surely, 23325560 is an apocalyptic number.

3325560 is a gapful number since it is divisible by the number (30) 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 3325560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909760).

3325560 is an abundant number, since it is smaller than the sum of its proper divisors (8493960).

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

3325560 is a wasteful number, since it uses less digits than its factorization.

3325560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 3325560 is about 1823.6118007953. The cubic root of 3325560 is about 149.2639496626.

The spelling of 3325560 in words is "three million, three hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 107 111 120 140 148 168 185 210 214 222 259 280 296 321 370 420 428 444 518 535 555 642 740 749 777 840 856 888 1036 1070 1110 1284 1295 1480 1498 1554 1605 2072 2140 2220 2247 2568 2590 2996 3108 3210 3745 3885 3959 4280 4440 4494 5180 5992 6216 6420 7490 7770 7918 8988 10360 11235 11877 12840 14980 15540 15836 17976 19795 22470 23754 27713 29960 31080 31672 39590 44940 47508 55426 59385 79180 83139 89880 95016 110852 118770 138565 158360 166278 221704 237540 277130 332556 415695 475080 554260 665112 831390 1108520 1662780 3325560