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1052909280 = 253851759
BaseRepresentation
bin111110110000100…
…001111011100000
32201101020100000000
4332300201323200
54124021044110
6252251300000
735043403233
oct7660417340
92641210000
101052909280
114a0381365
1225474a600
1313a1a3857
149dba141a
15626831c0
hex3ec21ee0

1052909280 has 432 divisors, whose sum is σ = 4017489840. Its totient is φ = 259780608.

The previous prime is 1052909269. The next prime is 1052909287. The reversal of 1052909280 is 829092501.

1052909280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10529092802 = 2217235903820236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052909287) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17845891 + ... + 17845949.

It is an arithmetic number, because the mean of its divisors is an integer number (9299745).

Almost surely, 21052909280 is an apocalyptic number.

1052909280 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 1052909280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008744920).

1052909280 is an abundant number, since it is smaller than the sum of its proper divisors (2964580560).

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

1052909280 is an frugal number, since it uses more digits than its factorization.

1052909280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1052909280 is about 32448.5636045727. The cubic root of 1052909280 is about 1017.3342154743.

The spelling of 1052909280 in words is "one billion, fifty-two million, nine hundred nine thousand, two hundred eighty".