Search a number
-
+
41131104 = 253797631
BaseRepresentation
bin1001110011100…
…1110001100000
32212101200021020
42130321301200
541012143404
64025325440
71006415520
oct234716140
985350236
1041131104
1121243453
1211936880
1386a1641
145669680
153926ed9
hex2739c60

41131104 has 96 divisors (see below), whose sum is σ = 124862976. Its totient is φ = 11612160.

The previous prime is 41131043. The next prime is 41131117. The reversal of 41131104 is 40113114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64869 + ... + 65499.

It is an arithmetic number, because the mean of its divisors is an integer number (1300656).

Almost surely, 241131104 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 41131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62431488).

41131104 is an abundant number, since it is smaller than the sum of its proper divisors (83731872).

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

41131104 is a wasteful number, since it uses less digits than its factorization.

41131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 41131104 is about 6413.3535689216. The cubic root of 41131104 is about 345.1888736860.

Adding to 41131104 its reverse (40113114), we get a palindrome (81244218).

It can be divided in two parts, 4113110 and 4, that added together give a palindrome (4113114).

The spelling of 41131104 in words is "forty-one million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 97 112 168 194 224 291 336 388 582 631 672 679 776 1164 1262 1358 1552 1893 2037 2328 2524 2716 3104 3786 4074 4417 4656 5048 5432 7572 8148 8834 9312 10096 10864 13251 15144 16296 17668 20192 21728 26502 30288 32592 35336 53004 60576 61207 65184 70672 106008 122414 141344 183621 212016 244828 367242 424032 428449 489656 734484 856898 979312 1285347 1468968 1713796 1958624 2570694 2937936 3427592 5141388 5875872 6855184 10282776 13710368 20565552 41131104