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41141700 = 223252172689
BaseRepresentation
bin1001110011110…
…0010111000100
32212102012210200
42130330113010
541013013300
64025450500
71006461435
oct234742704
985365720
1041141700
1121250406
1211940a30
1386a6402
14566d48c
15392a200
hex273c5c4

41141700 has 108 divisors (see below), whose sum is σ = 136592820. Its totient is φ = 10321920.

The previous prime is 41141651. The next prime is 41141701. The reversal of 41141700 is 714114.

41141700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3392964 + 37748736 = 1842^2 + 6144^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41141701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13956 + ... + 16644.

Almost surely, 241141700 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 41141700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68296410).

41141700 is an abundant number, since it is smaller than the sum of its proper divisors (95451120).

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

41141700 is a wasteful number, since it uses less digits than its factorization.

41141700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 41141700 is about 6414.1796045948. The cubic root of 41141700 is about 345.2185131146.

Adding to 41141700 its reverse (714114), we get a palindrome (41855814).

The spelling of 41141700 in words is "forty-one million, one hundred forty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 2689 3060 3825 5100 5378 7650 8067 10756 13445 15300 16134 24201 26890 32268 40335 45713 48402 53780 67225 80670 91426 96804 121005 134450 137139 161340 182852 201675 228565 242010 268900 274278 403350 411417 457130 484020 548556 605025 685695 806700 822834 914260 1142825 1210050 1371390 1645668 2057085 2285650 2420100 2742780 3428475 4114170 4571300 6856950 8228340 10285425 13713900 20570850 41141700