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1050126000 = 243537112273
BaseRepresentation
bin111110100101111…
…010011010110000
32201011222221001120
4332211322122300
54122313013000
6252111502240
735010631560
oct7645723260
92634887046
101050126000
11499850230
12253827980
1313973aa41
149d678da0
15622d36a0
hex3e97a6b0

1050126000 has 320 divisors, whose sum is σ = 4222872576. Its totient is φ = 218112000.

The previous prime is 1050125983. The next prime is 1050126001. The reversal of 1050126000 is 6210501.

It is a super-2 number, since 2×10501260002 = 2205529231752000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1050126001) 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 63 ways as a sum of consecutive naturals, for example, 460864 + ... + 463136.

Almost surely, 21050126000 is an apocalyptic number.

1050126000 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 1050126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111436288).

1050126000 is an abundant number, since it is smaller than the sum of its proper divisors (3172746576).

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

1050126000 is a wasteful number, since it uses less digits than its factorization.

1050126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2317 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1050126000 is about 32405.6476559257. The cubic root of 1050126000 is about 1016.4370110430.

Adding to 1050126000 its reverse (6210501), we get a palindrome (1056336501).

The spelling of 1050126000 in words is "one billion, fifty million, one hundred twenty-six thousand".