Search a number
-
+
41124120 = 2335973533
BaseRepresentation
bin1001110011100…
…0000100011000
32212101022200120
42130320010120
541011432440
64025233240
71006356252
oct234700430
985338616
1041124120
1121239184
1211932820
13869b3cb
145666cd2
153924dd0
hex2738118

41124120 has 64 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 10850304.

The previous prime is 41124119. The next prime is 41124143. The reversal of 41124120 is 2142114.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41124120.

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, 9874 + ... + 13406.

Almost surely, 241124120 is an apocalyptic number.

41124120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

41124120 is an abundant number, since it is smaller than the sum of its proper divisors (83555400).

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

41124120 is a wasteful number, since it uses less digits than its factorization.

41124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 41124120 is about 6412.8090568798. The cubic root of 41124120 is about 345.1693350618.

Adding to 41124120 its reverse (2142114), we get a palindrome (43266234).

It can be divided in two parts, 411 and 24120, that added together give a triangular number (24531 = T221).

The spelling of 41124120 in words is "forty-one million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3533 3880 5820 7066 10599 11640 14132 17665 21198 28264 35330 42396 52995 70660 84792 105990 141320 211980 342701 423960 685402 1028103 1370804 1713505 2056206 2741608 3427010 4112412 5140515 6854020 8224824 10281030 13708040 20562060 41124120