Search a number
-
+
3682260 = 223452273
BaseRepresentation
bin1110000010111111010100
320221002010000
432002333110
51420313020
6210531300
743204311
oct16027724
96832100
103682260
11209559a
121296b30
139bc06a
146bbd08
154cb090
hex382fd4

3682260 has 60 divisors (see below), whose sum is σ = 11556468. Its totient is φ = 981504.

The previous prime is 3682243. The next prime is 3682271. The reversal of 3682260 is 622863.

It can be written as a sum of positive squares in 2 ways, for example, as 2396304 + 1285956 = 1548^2 + 1134^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 484 + ... + 2756.

Almost surely, 23682260 is an apocalyptic number.

3682260 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 3682260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778234).

3682260 is an abundant number, since it is smaller than the sum of its proper divisors (7874208).

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

3682260 is a wasteful number, since it uses less digits than its factorization.

3682260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3682260 is about 1918.9215721337. The cubic root of 3682260 is about 154.4204510840.

It can be divided in two parts, 368 and 2260, that added together give a triangular number (2628 = T72).

The spelling of 3682260 in words is "three million, six hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2273 4546 6819 9092 11365 13638 20457 22730 27276 34095 40914 45460 61371 68190 81828 102285 122742 136380 184113 204570 245484 306855 368226 409140 613710 736452 920565 1227420 1841130 3682260