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1050940672 = 2831151877
BaseRepresentation
bin111110101001000…
…001010100000000
32201020112022120121
4332221001110000
54123020100142
6252141150024
735020563655
oct7651012400
92636468517
101050940672
1149a257311
12253b5b314
131399647b2
149d80bc2c
15623e4c67
hex3ea41500

1050940672 has 72 divisors (see below), whose sum is σ = 2182272512. Its totient is φ = 504576000.

The previous prime is 1050940661. The next prime is 1050940687. The reversal of 1050940672 is 2760490501.

It is a super-3 number, since 3×10509406723 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197898 + ... + 1198774.

Almost surely, 21050940672 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 1050940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091136256).

1050940672 is an abundant number, since it is smaller than the sum of its proper divisors (1131331840).

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

1050940672 is an equidigital number, since it uses as much as digits as its factorization.

1050940672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1050940672 is about 32418.2151266846. The cubic root of 1050940672 is about 1016.6997886310.

The spelling of 1050940672 in words is "one billion, fifty million, nine hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 151 248 256 302 496 604 877 992 1208 1754 1984 2416 3508 3968 4681 4832 7016 7936 9362 9664 14032 18724 19328 27187 28064 37448 38656 54374 56128 74896 108748 112256 132427 149792 217496 224512 264854 299584 434992 529708 599168 869984 1059416 1198336 1739968 2118832 3479936 4105237 4237664 6959872 8210474 8475328 16420948 16950656 32841896 33901312 65683792 131367584 262735168 525470336 1050940672