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1053290080 = 255171989229
BaseRepresentation
bin111110110001111…
…110111001100000
32201101221200100201
4332301332321200
54124120240310
6252303354544
735046550363
oct7661767140
92641850321
101053290080
114a0611477
122548b2a54
1313a2a7c8b
149dc600da
156270ae3a
hex3ec7ee60

1053290080 has 192 divisors, whose sum is σ = 2816856000. Its totient is φ = 369819648.

The previous prime is 1053290057. The next prime is 1053290087. The reversal of 1053290080 is 800923501.

It is a super-2 number, since 2×10532900802 = 2218839985252812800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053290087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4599406 + ... + 4599634.

It is an arithmetic number, because the mean of its divisors is an integer number (14671125).

Almost surely, 21053290080 is an apocalyptic number.

1053290080 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 1053290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408428000).

1053290080 is an abundant number, since it is smaller than the sum of its proper divisors (1763565920).

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

1053290080 is a wasteful number, since it uses less digits than its factorization.

1053290080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1053290080 is about 32454.4308223084. The cubic root of 1053290080 is about 1017.4568452782.

The spelling of 1053290080 in words is "one billion, fifty-three million, two hundred ninety thousand, eighty".