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41124020 = 22571737467
BaseRepresentation
bin1001110011100…
…0000010110100
32212101022112212
42130320002310
541011432040
64025232552
71006356050
oct234700264
985338485
1041124020
11212390a3
1211932758
13869b352
145666c60
153924d65
hex27380b4

41124020 has 96 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 12883968.

The previous prime is 41123989. The next prime is 41124029. The reversal of 41124020 is 2042114.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 41123986 and 41124004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41124029) 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 31 ways as a sum of consecutive naturals, for example, 87827 + ... + 88293.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 241124020 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 41124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

41124020 is an abundant number, since it is smaller than the sum of its proper divisors (66433612).

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

41124020 is a wasteful number, since it uses less digits than its factorization.

41124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 41124020 is about 6412.8012599799. The cubic root of 41124020 is about 345.1690552830.

Adding to 41124020 its reverse (2042114), we get a palindrome (43166134).

The spelling of 41124020 in words is "forty-one million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 37 68 70 74 85 119 140 148 170 185 238 259 340 370 467 476 518 595 629 740 934 1036 1190 1258 1295 1868 2335 2380 2516 2590 3145 3269 4403 4670 5180 6290 6538 7939 8806 9340 12580 13076 15878 16345 17279 17612 22015 31756 32690 34558 39695 44030 55573 65380 69116 79390 86395 88060 111146 120953 158780 172790 222292 241906 277865 293743 345580 483812 555730 587486 604765 1111460 1174972 1209530 1468715 2056201 2419060 2937430 4112402 5874860 8224804 10281005 20562010 41124020