Search a number
-
+
41121960 = 23351131153
BaseRepresentation
bin1001110011011…
…1100010101000
32212101012201120
42130313202220
541011400320
64025215240
71006350045
oct234674250
985335646
1041121960
11212375a0
1211931520
13869a429
1456661cc
153924440
hex27378a8

41121960 has 64 divisors (see below), whose sum is σ = 134585280. Its totient is φ = 9968640.

The previous prime is 41121923. The next prime is 41121961. The reversal of 41121960 is 6912114.

41121960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 41121960.

It is not an unprimeable number, because it can be changed into a prime (41121961) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14257 + ... + 16896.

It is an arithmetic number, because the mean of its divisors is an integer number (2102895).

Almost surely, 241121960 is an apocalyptic number.

41121960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41121960 is an abundant number, since it is smaller than the sum of its proper divisors (93463320).

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

41121960 is a wasteful number, since it uses less digits than its factorization.

41121960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31178 (or 31174 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 41121960 is about 6412.6406417325. The cubic root of 41121960 is about 345.1632917404.

The spelling of 41121960 in words is "forty-one million, one hundred twenty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 31153 62306 93459 124612 155765 186918 249224 311530 342683 373836 467295 623060 685366 747672 934590 1028049 1246120 1370732 1713415 1869180 2056098 2741464 3426830 3738360 4112196 5140245 6853660 8224392 10280490 13707320 20560980 41121960