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1000126128 = 243139149899
BaseRepresentation
bin111011100111001…
…011011010110000
32120200220200010110
4323213023122300
54022013014003
6243124101320
733532634421
oct7347133260
92520820113
101000126128
114735aa621
1223ab34840
1312c282711
1496b81648
155cc08a03
hex3b9cb6b0

1000126128 has 40 divisors (see below), whose sum is σ = 2602264000. Its totient is φ = 330974784.

The previous prime is 1000126097. The next prime is 1000126147. The reversal of 1000126128 is 8216210001.

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 7 ways as a sum of consecutive naturals, for example, 68278 + ... + 81621.

It is an arithmetic number, because the mean of its divisors is an integer number (65056600).

Almost surely, 21000126128 is an apocalyptic number.

It is an amenable number.

1000126128 is an abundant number, since it is smaller than the sum of its proper divisors (1602137872).

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

1000126128 is a wasteful number, since it uses less digits than its factorization.

1000126128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150049 (or 150043 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1000126128 is about 31624.7707975884. The cubic root of 1000126128 is about 1000.0420408992.

Adding to 1000126128 its reverse (8216210001), we get a palindrome (9216336129).

The spelling of 1000126128 in words is "one billion, one hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 834 1112 1668 2224 3336 6672 149899 299798 449697 599596 899394 1199192 1798788 2398384 3597576 7195152 20835961 41671922 62507883 83343844 125015766 166687688 250031532 333375376 500063064 1000126128