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1030412000 = 25534161103
BaseRepresentation
bin111101011010101…
…101011011100000
32122210220100112102
4331122231123200
54102241141000
6250125145532
734351233422
oct7532553340
92583810472
101030412000
11489705872
122490bb2a8
13135627857
149abc6812
15606dc3d5
hex3d6ad6e0

1030412000 has 192 divisors, whose sum is σ = 2661579648. Its totient is φ = 391680000.

The previous prime is 1030411997. The next prime is 1030412011. The reversal of 1030412000 is 2140301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10003949 + ... + 10004051.

It is an arithmetic number, because the mean of its divisors is an integer number (13862394).

Almost surely, 21030412000 is an apocalyptic number.

1030412000 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 1030412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330789824).

1030412000 is an abundant number, since it is smaller than the sum of its proper divisors (1631167648).

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

1030412000 is a wasteful number, since it uses less digits than its factorization.

1030412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1030412000 is about 32100.0311526329. The cubic root of 1030412000 is about 1010.0362696513.

Adding to 1030412000 its reverse (2140301), we get a palindrome (1032552301).

It can be divided in two parts, 1030 and 412000, that multiplied together give a square (424360000 = 206002).

The spelling of 1030412000 in words is "one billion, thirty million, four hundred twelve thousand".