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41095040 = 27579173
BaseRepresentation
bin1001110011000…
…0111110000000
32212022211210112
42130300332000
541010020130
64024450452
71006205420
oct234607600
985284715
1041095040
1121219348
1211919a28
13868b0bc
14565a480
15391b495
hex2730f80

41095040 has 64 divisors (see below), whose sum is σ = 112289760. Its totient is φ = 14088192.

The previous prime is 41095039. The next prime is 41095111. The reversal of 41095040 is 4059014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 41094997 and 41095015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107 + ... + 9066.

Almost surely, 241095040 is an apocalyptic number.

41095040 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 41095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56144880).

41095040 is an abundant number, since it is smaller than the sum of its proper divisors (71194720).

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

41095040 is an equidigital number, since it uses as much as digits as its factorization.

41095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9199 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 41095040 is about 6410.5413187967. The cubic root of 41095040 is about 345.0879562900.

The spelling of 41095040 in words is "forty-one million, ninety-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 9173 18346 36692 45865 64211 73384 91730 128422 146768 183460 256844 293536 321055 366920 513688 587072 642110 733840 1027376 1174144 1284220 1467680 2054752 2568440 2935360 4109504 5136880 5870720 8219008 10273760 20547520 41095040