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1020324200 = 235275313751
BaseRepresentation
bin111100110100001…
…110100101101000
32122002220211200012
4330310032211220
54042200333300
6245125031052
734166420060
oct7464164550
92562824605
101020324200
11483a45745
12245855488
1313350503c
149971c3a0
155e898435
hex3cd0e968

1020324200 has 96 divisors (see below), whose sum is σ = 2762501760. Its totient is φ = 343200000.

The previous prime is 1020324169. The next prime is 1020324203. The reversal of 1020324200 is 24230201.

1020324200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10203242002 = 2082122946211280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1020324203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67325 + ... + 81075.

It is an arithmetic number, because the mean of its divisors is an integer number (28776060).

Almost surely, 21020324200 is an apocalyptic number.

1020324200 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 1020324200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381250880).

1020324200 is an abundant number, since it is smaller than the sum of its proper divisors (1742177560).

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

1020324200 is a wasteful number, since it uses less digits than its factorization.

1020324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13827 (or 13818 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1020324200 is about 31942.5139899789. The cubic root of 1020324200 is about 1006.7293476362.

Adding to 1020324200 its reverse (24230201), we get a palindrome (1044554401).

The spelling of 1020324200 in words is "one billion, twenty million, three hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 53 56 70 100 106 140 175 200 212 265 280 350 371 424 530 700 742 1060 1325 1400 1484 1855 2120 2650 2968 3710 5300 7420 9275 10600 13751 14840 18550 27502 37100 55004 68755 74200 96257 110008 137510 192514 275020 343775 385028 481285 550040 687550 728803 770056 962570 1375100 1457606 1925140 2406425 2750200 2915212 3644015 3850280 4812850 5101621 5830424 7288030 9625700 10203242 14576060 18220075 19251400 20406484 25508105 29152120 36440150 40812968 51016210 72880300 102032420 127540525 145760600 204064840 255081050 510162100 1020324200