Search a number
-
+
41324130 = 23252971223
BaseRepresentation
bin1001110110100…
…0111001100010
32212202111001100
42131220321202
541034333010
64033415230
71011151341
oct235507142
985674040
1041324130
1121365481
1211a0a516
13873b463
1456b9b58
1539642c0
hex2768e62

41324130 has 96 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 10442880.

The previous prime is 41324117. The next prime is 41324167. The reversal of 41324130 is 3142314.

41324130 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 (18).

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 47 ways as a sum of consecutive naturals, for example, 185199 + ... + 185421.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 241324130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41324130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

41324130 is an abundant number, since it is smaller than the sum of its proper divisors (71894430).

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

41324130 is a wasteful number, since it uses less digits than its factorization.

41324130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41324130 is about 6428.3847115741. The cubic root of 41324130 is about 345.7280152844.

Adding to 41324130 its reverse (3142314), we get a palindrome (44466444).

The spelling of 41324130 in words is "forty-one million, three hundred twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 71 87 90 142 145 174 213 223 261 290 355 426 435 446 522 639 669 710 870 1065 1115 1278 1305 1338 2007 2059 2130 2230 2610 3195 3345 4014 4118 6177 6390 6467 6690 10035 10295 12354 12934 15833 18531 19401 20070 20590 30885 31666 32335 37062 38802 47499 58203 61770 64670 79165 92655 94998 97005 116406 142497 158330 185310 194010 237495 284994 291015 459157 474990 582030 712485 918314 1377471 1424970 2295785 2754942 4132413 4591570 6887355 8264826 13774710 20662065 41324130