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1053000000 = 26345613
BaseRepresentation
bin111110110000111…
…000000101000000
32201101101221110000
4332300320011000
54124032000000
6252253240000
735044231563
oct7660700500
92641357400
101053000000
114a0433538
12254793000
1313a205c30
149dbc64da
15626a0000
hex3ec38140

1053000000 has 490 divisors, whose sum is σ = 4201860278. Its totient is φ = 259200000.

The previous prime is 1052999989. The next prime is 1053000017. The reversal of 1053000000 is 3501.

It can be written as a sum of positive squares in 7 ways, for example, as 999065664 + 53934336 = 31608^2 + 7344^2 .

It is a super-2 number, since 2×10530000002 = 2217618000000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 80999994 + ... + 81000006.

Almost surely, 21053000000 is an apocalyptic number.

1053000000 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 1053000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2100930139).

1053000000 is an abundant number, since it is smaller than the sum of its proper divisors (3148860278).

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

1053000000 is an frugal number, since it uses more digits than its factorization.

1053000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 1053000000 is about 32449.9614791759. The cubic root of 1053000000 is about 1017.3634329043.

Adding to 1053000000 its reverse (3501), we get a palindrome (1053003501).

The spelling of 1053000000 in words is "one billion, fifty-three million", and thus it is an aban number and an uban number.