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41331120 = 2435172213
BaseRepresentation
bin1001110110101…
…0100110110000
32212202211122020
42131222212300
541040043440
64033511440
71011210615
oct235524660
985684566
1041331120
112136a756
1211a12580
1387416ac
1456bc50c
1539663d0
hex276a9b0

41331120 has 40 divisors (see below), whose sum is σ = 128127216. Its totient is φ = 11021568.

The previous prime is 41331113. The next prime is 41331133. The reversal of 41331120 is 2113314.

41331120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×413311202 = 3416522960908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41331120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 85867 + ... + 86346.

Almost surely, 241331120 is an apocalyptic number.

41331120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41331120 is an abundant number, since it is smaller than the sum of its proper divisors (86796096).

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

41331120 is a wasteful number, since it uses less digits than its factorization.

41331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172229 (or 172223 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 41331120 is about 6428.9283710429. The cubic root of 41331120 is about 345.7475075486.

Adding to 41331120 its reverse (2113314), we get a palindrome (43444434).

It can be divided in two parts, 4133 and 1120, that added together give a triangular number (5253 = T102).

The spelling of 41331120 in words is "forty-one million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 172213 344426 516639 688852 861065 1033278 1377704 1722130 2066556 2583195 2755408 3444260 4133112 5166390 6888520 8266224 10332780 13777040 20665560 41331120