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1013804000 = 25531123041
BaseRepresentation
bin111100011011010…
…110101111100000
32121122122120122022
4330123112233200
54034013212000
6244333201012
734060122536
oct7433265740
92548576568
101013804000
114802a1a50
12243630168
13132061331
1498902156
155e00b585
hex3c6d6be0

1013804000 has 96 divisors (see below), whose sum is σ = 2717481312. Its totient is φ = 368640000.

The previous prime is 1013803969. The next prime is 1013804009. The reversal of 1013804000 is 4083101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013804000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013804009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32480 + ... + 55520.

It is an arithmetic number, because the mean of its divisors is an integer number (28307097).

Almost surely, 21013804000 is an apocalyptic number.

1013804000 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 1013804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358740656).

1013804000 is an abundant number, since it is smaller than the sum of its proper divisors (1703677312).

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

1013804000 is a wasteful number, since it uses less digits than its factorization.

1013804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23077 (or 23059 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1013804000 is about 31840.2889434126. The cubic root of 1013804000 is about 1004.5803219534.

Adding to 1013804000 its reverse (4083101), we get a palindrome (1017887101).

The spelling of 1013804000 in words is "one billion, thirteen million, eight hundred four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 23041 44000 46082 92164 115205 184328 230410 253451 368656 460820 506902 576025 737312 921640 1013804 1152050 1267255 1843280 2027608 2304100 2534510 2880125 3686560 4055216 4608200 5069020 5760250 6336275 8110432 9216400 10138040 11520500 12672550 18432800 20276080 23041000 25345100 31681375 40552160 46082000 50690200 63362750 92164000 101380400 126725500 202760800 253451000 506902000 1013804000