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41302260 = 22325269853
BaseRepresentation
bin1001110110001…
…1100011110100
32212201101001100
42131203203310
541033133020
64033130100
71011030516
oct235434364
985641040
1041302260
112134aaaa
12119b9930
13873150c
1456b1bb6
15395ca90
hex27638f4

41302260 has 72 divisors (see below), whose sum is σ = 125896680. Its totient is φ = 10960128.

The previous prime is 41302259. The next prime is 41302271. The reversal of 41302260 is 6220314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 39463524 = 1356^2 + 6282^2 .

It is a super-2 number, since 2×413022602 = 3411753362215200, which contains 22 as substring.

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

It is a congruent number.

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, 47994 + ... + 48846.

It is an arithmetic number, because the mean of its divisors is an integer number (1748565).

Almost surely, 241302260 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 41302260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62948340).

41302260 is an abundant number, since it is smaller than the sum of its proper divisors (84594420).

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

41302260 is a wasteful number, since it uses less digits than its factorization.

41302260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 41302260 is about 6426.6834370459. The cubic root of 41302260 is about 345.6670145572.

Adding to 41302260 its reverse (6220314), we get a palindrome (47522574).

The spelling of 41302260 in words is "forty-one million, three hundred two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 269 538 807 853 1076 1345 1614 1706 2421 2559 2690 3228 3412 4035 4265 4842 5118 5380 7677 8070 8530 9684 10236 12105 12795 15354 16140 17060 24210 25590 30708 38385 48420 51180 76770 153540 229457 458914 688371 917828 1147285 1376742 2065113 2294570 2753484 3441855 4130226 4589140 6883710 8260452 10325565 13767420 20651130 41302260