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1000423200 = 253527247181
BaseRepresentation
bin111011101000010…
…011111100100000
32120201110202122010
4323220103330200
54022102020300
6243134312520
733535312500
oct7350237440
92521422563
101000423200
11473792837
1223b058740
1312c3579ba
1496c1ba00
155cc66a50
hex3ba13f20

1000423200 has 432 divisors, whose sum is σ = 3890001024. Its totient is φ = 222566400.

The previous prime is 1000423147. The next prime is 1000423201. The reversal of 1000423200 is 23240001.

1000423200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1000423201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5527110 + ... + 5527290.

It is an arithmetic number, because the mean of its divisors is an integer number (9004632).

Almost surely, 21000423200 is an apocalyptic number.

1000423200 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 1000423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945000512).

1000423200 is an abundant number, since it is smaller than the sum of its proper divisors (2889577824).

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

1000423200 is a wasteful number, since it uses less digits than its factorization.

1000423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1000423200 is about 31629.4672734145. The cubic root of 1000423200 is about 1000.1410467715.

Adding to 1000423200 its reverse (23240001), we get a palindrome (1023663201).

The spelling of 1000423200 in words is "one billion, four hundred twenty-three thousand, two hundred".