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41056080 = 24351313159
BaseRepresentation
bin1001110010011…
…1011101010000
32212020212100120
42130213131100
541002243310
64023550240
71005654012
oct234473520
985225316
1041056080
11211a204a
12118bb380
138676450
14564a1b2
15390eb70
hex2727750

41056080 has 80 divisors (see below), whose sum is σ = 137074560. Its totient is φ = 10105344.

The previous prime is 41056073. The next prime is 41056087. The reversal of 41056080 is 8065014.

41056080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41056073) and next prime (41056087).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41056080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41056087) 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 15 ways as a sum of consecutive naturals, for example, 3460 + ... + 9699.

It is an arithmetic number, because the mean of its divisors is an integer number (1713432).

Almost surely, 241056080 is an apocalyptic number.

41056080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41056080 is an abundant number, since it is smaller than the sum of its proper divisors (96018480).

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

41056080 is a wasteful number, since it uses less digits than its factorization.

41056080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13188 (or 13182 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 41056080 is about 6407.5018532966. The cubic root of 41056080 is about 344.9788686910.

The spelling of 41056080 in words is "forty-one million, fifty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 13159 26318 39477 52636 65795 78954 105272 131590 157908 171067 197385 210544 263180 315816 342134 394770 513201 526360 631632 684268 789540 855335 1026402 1052720 1368536 1579080 1710670 2052804 2566005 2737072 3158160 3421340 4105608 5132010 6842680 8211216 10264020 13685360 20528040 41056080