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41004180 = 22325724649
BaseRepresentation
bin1001110001101…
…0110010010100
32212011020011100
42130122302110
540444113210
64022510100
71005346500
oct234326224
985136140
1041004180
1121167058
1211895330
138658939
145635300
1538ee5c0
hex271ac94

41004180 has 108 divisors (see below), whose sum is σ = 144717300. Its totient is φ = 9370368.

The previous prime is 41004157. The next prime is 41004181. The reversal of 41004180 is 8140014.

It can be written as a sum of positive squares in 2 ways, for example, as 30272004 + 10732176 = 5502^2 + 3276^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41004181) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6496 + ... + 11144.

It is an arithmetic number, because the mean of its divisors is an integer number (1339975).

Almost surely, 241004180 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 41004180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72358650).

41004180 is an abundant number, since it is smaller than the sum of its proper divisors (103713120).

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

41004180 is a wasteful number, since it uses less digits than its factorization.

41004180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 41004180 is about 6403.4506322763. The cubic root of 41004180 is about 344.8334419718.

Adding to 41004180 its reverse (8140014), we get a palindrome (49144194).

The spelling of 41004180 in words is "forty-one million, four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 4649 8820 9298 13947 18596 23245 27894 32543 41841 46490 55788 65086 69735 83682 92980 97629 130172 139470 162715 167364 195258 209205 227801 278940 292887 325430 390516 418410 455602 488145 585774 650860 683403 836820 911204 976290 1139005 1171548 1366806 1464435 1952580 2050209 2278010 2733612 2928870 3417015 4100418 4556020 5857740 6834030 8200836 10251045 13668060 20502090 41004180