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1041441940 = 2257114315727
BaseRepresentation
bin111110000100110…
…010010010010100
32200120122201202201
4332010302102110
54113102120230
6251201414244
734544052610
oct7604622224
92616581681
101041441940
11494959820
1225093a384
131379ba146
149c458340
156166a5ca
hex3e132494

1041441940 has 96 divisors (see below), whose sum is σ = 2790273024. Its totient is φ = 317036160.

The previous prime is 1041441937. The next prime is 1041441941. The reversal of 1041441940 is 491441401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1041441899 and 1041441908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041441941) 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 31 ways as a sum of consecutive naturals, for example, 58357 + ... + 74083.

It is an arithmetic number, because the mean of its divisors is an integer number (29065344).

Almost surely, 21041441940 is an apocalyptic number.

1041441940 is a gapful number since it is divisible by the number (10) 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 1041441940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395136512).

1041441940 is an abundant number, since it is smaller than the sum of its proper divisors (1748831084).

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

1041441940 is a wasteful number, since it uses less digits than its factorization.

1041441940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15797 (or 15795 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1041441940 is about 32271.3795800551. The cubic root of 1041441940 is about 1013.6274295937.

The spelling of 1041441940 in words is "one billion, forty-one million, four hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 43 44 55 70 77 86 110 140 154 172 215 220 301 308 385 430 473 602 770 860 946 1204 1505 1540 1892 2365 3010 3311 4730 6020 6622 9460 13244 15727 16555 31454 33110 62908 66220 78635 110089 157270 172997 220178 314540 345994 440356 550445 676261 691988 864985 1100890 1210979 1352522 1729970 2201780 2421958 2705044 3381305 3459940 4733827 4843916 6054895 6762610 7438871 9467654 12109790 13525220 14877742 18935308 23669135 24219580 29755484 37194355 47338270 52072097 74388710 94676540 104144194 148777420 208288388 260360485 520720970 1041441940