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1042420200 = 233529717911
BaseRepresentation
bin111110001000100…
…001000111101000
32200122111102200120
4332020201013220
54113324421300
6251234403240
734555265643
oct7610410750
92618442616
101042420200
114954677a8
12251130520
13137c704b3
149c630a5a
15617b03a0
hex3e2211e8

1042420200 has 96 divisors (see below), whose sum is σ = 3264999360. Its totient is φ = 275097600.

The previous prime is 1042420193. The next prime is 1042420219. The reversal of 1042420200 is 20242401.

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 1042420200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 49245 + ... + 67155.

It is an arithmetic number, because the mean of its divisors is an integer number (34010410).

Almost surely, 21042420200 is an apocalyptic number.

1042420200 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 1042420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632499680).

1042420200 is an abundant number, since it is smaller than the sum of its proper divisors (2222579160).

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

1042420200 is a wasteful number, since it uses less digits than its factorization.

1042420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18027 (or 18018 counting only the distinct ones).

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

The square root of 1042420200 is about 32286.5327961985. The cubic root of 1042420200 is about 1013.9447079157.

Adding to 1042420200 its reverse (20242401), we get a palindrome (1062662601).

The spelling of 1042420200 in words is "one billion, forty-two million, four hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 388 485 582 600 776 970 1164 1455 1940 2328 2425 2910 3880 4850 5820 7275 9700 11640 14550 17911 19400 29100 35822 53733 58200 71644 89555 107466 143288 179110 214932 268665 358220 429864 447775 537330 716440 895550 1074660 1343325 1737367 1791100 2149320 2686650 3474734 3582200 5212101 5373300 6949468 8686835 10424202 10746600 13898936 17373670 20848404 26060505 34747340 41696808 43434175 52121010 69494680 86868350 104242020 130302525 173736700 208484040 260605050 347473400 521210100 1042420200