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1053293280 = 2535132341179
BaseRepresentation
bin111110110001111…
…111101011100000
32201101221211202020
4332301333223200
54124120341110
6252303421440
735046562614
oct7661775340
92641854666
101053293280
114a0613916
122548b4880
1313a2a9580
149dc61344
156270bd70
hex3ec7fae0

1053293280 has 384 divisors, whose sum is σ = 3840721920. Its totient is φ = 240599040.

The previous prime is 1053293243. The next prime is 1053293281. The reversal of 1053293280 is 823923501.

It is a super-2 number, since 2×10532932802 = 2218853467386316800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053293281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5884231 + ... + 5884409.

It is an arithmetic number, because the mean of its divisors is an integer number (10001880).

Almost surely, 21053293280 is an apocalyptic number.

1053293280 is a gapful number since it is divisible by the number (10) 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 1053293280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920360960).

1053293280 is an abundant number, since it is smaller than the sum of its proper divisors (2787428640).

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

1053293280 is a wasteful number, since it uses less digits than its factorization.

1053293280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1053293280 is about 32454.4801221650. The cubic root of 1053293280 is about 1017.4578756555.

The spelling of 1053293280 in words is "one billion, fifty-three million, two hundred ninety-three thousand, two hundred eighty".