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1126921024 = 26173972609
BaseRepresentation
bin100001100101011…
…0111001101000000
32220112111112000201
41003022313031000
54301442433044
6303453454544
736632446015
oct10312671500
92815445021
101126921024
11529132499
122754a1454
1314c618398
14a994970c
1568e027d4
hex432b7340

1126921024 has 56 divisors (see below), whose sum is σ = 2374651080. Its totient is φ = 528777216.

The previous prime is 1126921013. The next prime is 1126921049. The reversal of 1126921024 is 4201296211.

It can be written as a sum of positive squares in 4 ways, for example, as 377913600 + 749007424 = 19440^2 + 27368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1126920983 and 1126921001.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 430632 + ... + 433240.

Almost surely, 21126921024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126921024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187325540).

1126921024 is an abundant number, since it is smaller than the sum of its proper divisors (1247730056).

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

1126921024 is a wasteful number, since it uses less digits than its factorization.

1126921024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1126921024 is about 33569.6443829839. The cubic root of 1126921024 is about 1040.6335587365.

The spelling of 1126921024 in words is "one billion, one hundred twenty-six million, nine hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 397 544 794 1088 1588 2609 3176 5218 6352 6749 10436 12704 13498 20872 25408 26996 41744 44353 53992 83488 88706 107984 166976 177412 215968 354824 431936 709648 1035773 1419296 2071546 2838592 4143092 8286184 16572368 17608141 33144736 35216282 66289472 70432564 140865128 281730256 563460512 1126921024