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1054121024 = 26112314391
BaseRepresentation
bin111110110101001…
…001110001000000
32201110111220012102
4332311021301000
54124323333044
6252333245532
735056611065
oct7665116100
92643456172
101054121024
114a1029800
122550338a8
1313a509268
149ddd8c6c
156282224e
hex3ed49c40

1054121024 has 84 divisors (see below), whose sum is σ = 2373928704. Its totient is φ = 463584000.

The previous prime is 1054121021. The next prime is 1054121063. The reversal of 1054121024 is 4201214501.

It is a happy number.

It is a super-2 number, since 2×10541210242 = 2222342266477617152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054120987 and 1054121005.

It is not an unprimeable number, because it can be changed into a prime (1054121021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237869 + ... + 242259.

It is an arithmetic number, because the mean of its divisors is an integer number (28261056).

Almost surely, 21054121024 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 1054121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186964352).

1054121024 is an abundant number, since it is smaller than the sum of its proper divisors (1319807680).

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

1054121024 is a wasteful number, since it uses less digits than its factorization.

1054121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1054121024 is about 32467.2300019574. The cubic root of 1054121024 is about 1017.7243332976.

Adding to 1054121024 its reverse (4201214501), we get a palindrome (5255335525).

The spelling of 1054121024 in words is "one billion, fifty-four million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 121 124 176 242 248 341 352 484 496 682 704 968 992 1364 1936 1984 2728 3751 3872 4391 5456 7502 7744 8782 10912 15004 17564 21824 30008 35128 48301 60016 70256 96602 120032 136121 140512 193204 240064 272242 281024 386408 531311 544484 772816 1062622 1088968 1497331 1545632 2125244 2177936 2994662 3091264 4250488 4355872 5989324 8500976 8711744 11978648 16470641 17001952 23957296 32941282 34003904 47914592 65882564 95829184 131765128 263530256 527060512 1054121024