Search a number
-
+
41323140 = 223251012273
BaseRepresentation
bin1001110110100…
…0101010000100
32212202102200200
42131220222010
541034320030
64033410500
71011145425
oct235505204
985672620
1041323140
1121364761
1211a09a30
13873ab81
1456b964c
153963d60
hex2768a84

41323140 has 72 divisors (see below), whose sum is σ = 126643608. Its totient is φ = 10905600.

The previous prime is 41323123. The next prime is 41323147. The reversal of 41323140 is 4132314.

41323140 = T235 + T236 + ... + T638.

It can be written as a sum of positive squares in 4 ways, for example, as 22867524 + 18455616 = 4782^2 + 4296^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (41323147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17044 + ... + 19316.

It is an arithmetic number, because the mean of its divisors is an integer number (1758939).

Almost surely, 241323140 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 41323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63321804).

41323140 is an abundant number, since it is smaller than the sum of its proper divisors (85320468).

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

41323140 is a wasteful number, since it uses less digits than its factorization.

41323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2384 counting only the distinct ones).

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

The square root of 41323140 is about 6428.3077088764. The cubic root of 41323140 is about 345.7252543997.

Adding to 41323140 its reverse (4132314), we get a palindrome (45455454).

The spelling of 41323140 in words is "forty-one million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 2273 3030 3636 4545 4546 6060 6819 9090 9092 11365 13638 18180 20457 22730 27276 34095 40914 45460 68190 81828 102285 136380 204570 229573 409140 459146 688719 918292 1147865 1377438 2066157 2295730 2754876 3443595 4132314 4591460 6887190 8264628 10330785 13774380 20661570 41323140