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41094840 = 23353111047
BaseRepresentation
bin1001110011000…
…0111010111000
32212022211112010
42130300322320
541010013330
64024445520
71006205013
oct234607270
985284463
1041094840
1121219186
12119198a0
13868ac97
14565a37a
15391b3b0
hex2730eb8

41094840 has 64 divisors (see below), whose sum is σ = 127272960. Its totient is φ = 10604160.

The previous prime is 41094829. The next prime is 41094841. The reversal of 41094840 is 4849014.

41094840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41094798 and 41094807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41094841) 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, 1804 + ... + 9243.

It is an arithmetic number, because the mean of its divisors is an integer number (1988640).

Almost surely, 241094840 is an apocalyptic number.

41094840 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 41094840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63636480).

41094840 is an abundant number, since it is smaller than the sum of its proper divisors (86178120).

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

41094840 is a wasteful number, since it uses less digits than its factorization.

41094840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11092 (or 11088 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 41094840 is about 6410.5257194711. The cubic root of 41094840 is about 345.0873964681.

The spelling of 41094840 in words is "forty-one million, ninety-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 11047 22094 33141 44188 55235 66282 88376 110470 132564 165705 220940 265128 331410 342457 441880 662820 684914 1027371 1325640 1369828 1712285 2054742 2739656 3424570 4109484 5136855 6849140 8218968 10273710 13698280 20547420 41094840