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41045040 = 24325109523
BaseRepresentation
bin1001110010010…
…0110000110000
32212020022012200
42130210300300
541001420130
64023423200
71005606561
oct234446060
985208180
1041045040
1121194823
12118b4b00
13867140a
145646168
15390b760
hex2724c30

41045040 has 120 divisors (see below), whose sum is σ = 139373520. Its totient is φ = 10824192.

The previous prime is 41044999. The next prime is 41045057. The reversal of 41045040 is 4054014.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78219 + ... + 78741.

It is an arithmetic number, because the mean of its divisors is an integer number (1161446).

Almost surely, 241045040 is an apocalyptic number.

41045040 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 41045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69686760).

41045040 is an abundant number, since it is smaller than the sum of its proper divisors (98328480).

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

41045040 is a wasteful number, since it uses less digits than its factorization.

41045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 41045040 is about 6406.6403051834. The cubic root of 41045040 is about 344.9479442568.

Adding to 41045040 its reverse (4054014), we get a palindrome (45099054).

The spelling of 41045040 in words is "forty-one million, forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 109 120 144 180 218 240 327 360 436 523 545 654 720 872 981 1046 1090 1308 1569 1635 1744 1962 2092 2180 2615 2616 3138 3270 3924 4184 4360 4707 4905 5230 5232 6276 6540 7845 7848 8368 8720 9414 9810 10460 12552 13080 15690 15696 18828 19620 20920 23535 25104 26160 31380 37656 39240 41840 47070 57007 62760 75312 78480 94140 114014 125520 171021 188280 228028 285035 342042 376560 456056 513063 570070 684084 855105 912112 1026126 1140140 1368168 1710210 2052252 2280280 2565315 2736336 3420420 4104504 4560560 5130630 6840840 8209008 10261260 13681680 20522520 41045040