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41120040 = 23351343613
BaseRepresentation
bin1001110011011…
…1000100101000
32212101010002110
42130313010220
541011320130
64025202320
71006341333
oct234670450
985333073
1041120040
1121236105
12119303a0
1386995b0
14566561a
153923ab0
hex2737128

41120040 has 128 divisors (see below), whose sum is σ = 136160640. Its totient is φ = 9870336.

The previous prime is 41120017. The next prime is 41120041. The reversal of 41120040 is 4002114.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 41119998 and 41120025.

It is not an unprimeable number, because it can be changed into a prime (41120041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66774 + ... + 67386.

It is an arithmetic number, because the mean of its divisors is an integer number (1063755).

Almost surely, 241120040 is an apocalyptic number.

41120040 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 41120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68080320).

41120040 is an abundant number, since it is smaller than the sum of its proper divisors (95040600).

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

41120040 is a wasteful number, since it uses less digits than its factorization.

41120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 41120040 is about 6412.4909356661. The cubic root of 41120040 is about 345.1579197215.

Adding to 41120040 its reverse (4002114), we get a palindrome (45122154).

The spelling of 41120040 in words is "forty-one million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 613 645 780 860 1032 1118 1226 1290 1560 1677 1720 1839 2236 2452 2580 2795 3065 3354 3678 4472 4904 5160 5590 6130 6708 7356 7969 8385 9195 11180 12260 13416 14712 15938 16770 18390 22360 23907 24520 26359 31876 33540 36780 39845 47814 52718 63752 67080 73560 79077 79690 95628 105436 119535 131795 158154 159380 191256 210872 239070 263590 316308 318760 342667 395385 478140 527180 632616 685334 790770 956280 1028001 1054360 1370668 1581540 1713335 2056002 2741336 3163080 3426670 4112004 5140005 6853340 8224008 10280010 13706680 20560020 41120040