Search a number
-
+
41682060 = 22335711027
BaseRepresentation
bin1001111100000…
…0010010001100
32220102200001000
42133000102030
541132311220
64045220300
71014202020
oct237002214
986380030
1041682060
112158a392
1211b61690
138835354
145770380
1539d5390
hex27c048c

41682060 has 96 divisors (see below), whose sum is σ = 148216320. Its totient is φ = 9526464.

The previous prime is 41682023. The next prime is 41682061. The reversal of 41682060 is 6028614.

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

It is not an unprimeable number, because it can be changed into a prime (41682061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1734 + ... + 9293.

It is an arithmetic number, because the mean of its divisors is an integer number (1543920).

Almost surely, 241682060 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 41682060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74108160).

41682060 is an abundant number, since it is smaller than the sum of its proper divisors (106534260).

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

41682060 is a wasteful number, since it uses less digits than its factorization.

41682060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11052 (or 11044 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41682060 is about 6456.1644960456. The cubic root of 41682060 is about 346.7233244838.

The spelling of 41682060 in words is "forty-one million, six hundred eighty-two thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 11027 22054 33081 44108 55135 66162 77189 99243 110270 132324 154378 165405 198486 220540 231567 297729 308756 330810 385945 396972 463134 496215 595458 661620 694701 771890 926268 992430 1157835 1190916 1389402 1488645 1543780 1984860 2084103 2315670 2778804 2977290 3473505 4168206 4631340 5954580 6947010 8336412 10420515 13894020 20841030 41682060