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1020244200 = 2335213011307
BaseRepresentation
bin111100110011111…
…011000011101000
32122002202202221020
4330303323003220
54042140303300
6245123212440
734165634613
oct7463730350
92562682836
101020244200
114839a0628
12245817120
131334a77c1
14996db17a
155e87e8a0
hex3ccfb0e8

1020244200 has 96 divisors (see below), whose sum is σ = 3167609760. Its totient is φ = 271648000.

The previous prime is 1020244163. The next prime is 1020244207. The reversal of 1020244200 is 24420201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1020244200.

It is not an unprimeable number, because it can be changed into a prime (1020244207) 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 23 ways as a sum of consecutive naturals, for example, 779947 + ... + 781253.

It is an arithmetic number, because the mean of its divisors is an integer number (32995935).

Almost surely, 21020244200 is an apocalyptic number.

1020244200 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 1020244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583804880).

1020244200 is an abundant number, since it is smaller than the sum of its proper divisors (2147365560).

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

1020244200 is a wasteful number, since it uses less digits than its factorization.

1020244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1020244200 is about 31941.2617158433. The cubic root of 1020244200 is about 1006.7030355899.

Adding to 1020244200 its reverse (24420201), we get a palindrome (1044664401).

The spelling of 1020244200 in words is "one billion, twenty million, two hundred forty-four 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 1301 1307 2602 2614 3903 3921 5204 5228 6505 6535 7806 7842 10408 10456 13010 13070 15612 15684 19515 19605 26020 26140 31224 31368 32525 32675 39030 39210 52040 52280 65050 65350 78060 78420 97575 98025 130100 130700 156120 156840 195150 196050 260200 261400 390300 392100 780600 784200 1700407 3400814 5101221 6801628 8502035 10202442 13603256 17004070 20404884 25506105 34008140 40809768 42510175 51012210 68016280 85020350 102024420 127530525 170040700 204048840 255061050 340081400 510122100 1020244200