Search a number
-
+
40541130 = 23257229317
BaseRepresentation
bin1001101010100…
…1101111001010
32211021200222100
42122221233022
540334304010
64004534230
71001410500
oct232515712
984250870
1040541130
1120980173
12116b1376
138525c46
145554670
15385c2c0
hex26a9bca

40541130 has 144 divisors (see below), whose sum is σ = 127244520. Its totient is φ = 8918784.

The previous prime is 40541129. The next prime is 40541143. The reversal of 40541130 is 3114504.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22724289 + 17816841 = 4767^2 + 4221^2 .

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127732 + ... + 128048.

Almost surely, 240541130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40541130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63622260).

40541130 is an abundant number, since it is smaller than the sum of its proper divisors (86703390).

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

40541130 is a wasteful number, since it uses less digits than its factorization.

40541130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40541130 is about 6367.1916886489. The cubic root of 40541130 is about 343.5304855256.

Adding to 40541130 its reverse (3114504), we get a palindrome (43655634).

It can be divided in two parts, 4054 and 1130, that added together give a square (5184 = 722).

The spelling of 40541130 in words is "forty million, five hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 49 58 63 70 87 90 98 105 126 145 147 174 203 210 245 261 290 294 315 317 406 435 441 490 522 609 630 634 735 870 882 951 1015 1218 1305 1421 1470 1585 1827 1902 2030 2205 2219 2610 2842 2853 3045 3170 3654 4263 4410 4438 4755 5706 6090 6657 7105 8526 9135 9193 9510 11095 12789 13314 14210 14265 15533 18270 18386 19971 21315 22190 25578 27579 28530 31066 33285 39942 42630 45965 46599 55158 63945 64351 66570 77665 82737 91930 93198 99855 127890 128702 137895 139797 155330 165474 193053 199710 232995 275790 279594 321755 386106 413685 450457 465990 579159 643510 698985 827370 900914 965265 1158318 1351371 1397970 1930530 2252285 2702742 2895795 4054113 4504570 5791590 6756855 8108226 13513710 20270565 40541130