Search a number
-
+
41943660 = 223511103617
BaseRepresentation
bin1010000000000…
…0001001101100
32220220221212220
42200000021230
541214144120
64054555340
71016341503
oct240001154
986827786
1041943660
1121748990
1212068b50
1388c7445
1457db83a
153a37b40
hex280026c

41943660 has 96 divisors (see below), whose sum is σ = 129572352. Its totient is φ = 10053120.

The previous prime is 41943647. The next prime is 41943691. The reversal of 41943660 is 6634914.

It is a super-2 number, since 2×419436602 = 3518541228391200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67672 + ... + 68288.

It is an arithmetic number, because the mean of its divisors is an integer number (1349712).

Almost surely, 241943660 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 41943660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64786176).

41943660 is an abundant number, since it is smaller than the sum of its proper divisors (87628692).

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

41943660 is a wasteful number, since it uses less digits than its factorization.

41943660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 41943660 is about 6476.3925143555. The cubic root of 41943660 is about 347.4471668897.

The spelling of 41943660 in words is "forty-one million, nine hundred forty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 103 110 132 165 206 220 309 330 412 515 617 618 660 1030 1133 1234 1236 1545 1851 2060 2266 2468 3085 3090 3399 3702 4532 5665 6170 6180 6787 6798 7404 9255 11330 12340 13574 13596 16995 18510 20361 22660 27148 33935 33990 37020 40722 63551 67870 67980 81444 101805 127102 135740 190653 203610 254204 317755 381306 407220 635510 699061 762612 953265 1271020 1398122 1906530 2097183 2796244 3495305 3813060 4194366 6990610 8388732 10485915 13981220 20971830 41943660