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41303120 = 245895801
BaseRepresentation
bin1001110110001…
…1110001010000
32212201102020012
42131203301100
541033144440
64033134052
71011033155
oct235436120
985642205
1041303120
1121350711
12119ba328
138731a21
1456b222c
15395ce65
hex2763c50

41303120 has 40 divisors (see below), whose sum is σ = 97125480. Its totient is φ = 16332800.

The previous prime is 41303117. The next prime is 41303123. The reversal of 41303120 is 2130314.

It is an interprime number because it is at equal distance from previous prime (41303117) and next prime (41303123).

It can be written as a sum of positive squares in 4 ways, for example, as 8904256 + 32398864 = 2984^2 + 5692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 41303095 and 41303104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41303123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4220 + ... + 10020.

It is an arithmetic number, because the mean of its divisors is an integer number (2428137).

Almost surely, 241303120 is an apocalyptic number.

41303120 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 41303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48562740).

41303120 is an abundant number, since it is smaller than the sum of its proper divisors (55822360).

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

41303120 is a wasteful number, since it uses less digits than its factorization.

41303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5903 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 41303120 is about 6426.7503452367. The cubic root of 41303120 is about 345.6694137122.

Adding to 41303120 its reverse (2130314), we get a palindrome (43433434).

The spelling of 41303120 in words is "forty-one million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 5801 7120 11602 23204 29005 46408 58010 92816 116020 232040 464080 516289 1032578 2065156 2581445 4130312 5162890 8260624 10325780 20651560 41303120