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1041400200 = 233526732579
BaseRepresentation
bin111110000100101…
…000000110001000
32200120120121111210
4332010220012020
54113044301300
6251200453120
734543520121
oct7604500610
92616517453
101041400200
11494930425
1225091a1a0
131379a4149
149c447048
156165d050
hex3e128188

1041400200 has 96 divisors (see below), whose sum is σ = 3234391200. Its totient is φ = 277186560.

The previous prime is 1041400189. The next prime is 1041400247. The reversal of 1041400200 is 20041401.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 402511 + ... + 405089.

It is an arithmetic number, because the mean of its divisors is an integer number (33691575).

Almost surely, 21041400200 is an apocalyptic number.

1041400200 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 1041400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617195600).

1041400200 is an abundant number, since it is smaller than the sum of its proper divisors (2192991000).

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

1041400200 is a wasteful number, since it uses less digits than its factorization.

1041400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1041400200 is about 32270.7328705129. The cubic root of 1041400200 is about 1013.6138876725.

Adding to 1041400200 its reverse (20041401), we get a palindrome (1061441601).

The spelling of 1041400200 in words is "one billion, forty-one million, four hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 673 1346 2019 2579 2692 3365 4038 5158 5384 6730 7737 8076 10095 10316 12895 13460 15474 16152 16825 20190 20632 25790 26920 30948 33650 38685 40380 50475 51580 61896 64475 67300 77370 80760 100950 103160 128950 134600 154740 193425 201900 257900 309480 386850 403800 515800 773700 1547400 1735667 3471334 5207001 6942668 8678335 10414002 13885336 17356670 20828004 26035005 34713340 41656008 43391675 52070010 69426680 86783350 104140020 130175025 173566700 208280040 260350050 347133400 520700100 1041400200