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1053980928 = 283271113457
BaseRepresentation
bin111110110100100…
…111100100000000
32201110020210000200
4332310213210000
54124304342203
6252330245200
735055455460
oct7664474400
92643223020
101053980928
114a0a43520
12254b86800
1313a48a570
149dd9dba0
15627e59a3
hex3ed27900

1053980928 has 432 divisors, whose sum is σ = 4089111936. Its totient is φ = 252149760.

The previous prime is 1053980887. The next prime is 1053980947. The reversal of 1053980928 is 8290893501.

It is a happy number.

1053980928 is a `hidden beast` number, since 10 + 539 + 80 + 9 + 28 = 666.

It is a super-2 number, since 2×10539809282 = 2221751593175482368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2306076 + ... + 2306532.

Almost surely, 21053980928 is an apocalyptic number.

1053980928 is a gapful number since it is divisible by the number (18) 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 1053980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044555968).

1053980928 is an abundant number, since it is smaller than the sum of its proper divisors (3035131008).

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

1053980928 is a wasteful number, since it uses less digits than its factorization.

1053980928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1053980928 is about 32465.0724317689. The cubic root of 1053980928 is about 1017.6792450450.

The spelling of 1053980928 in words is "one billion, fifty-three million, nine hundred eighty thousand, nine hundred twenty-eight".