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1053666976 = 25297331549
BaseRepresentation
bin111110110011011…
…010111010100000
32201102122211100211
4332303122322200
54124214320401
6252315423504
735053010245
oct7663327240
92642584324
101053666976
114a084965a
12254a54b94
1313a3aa6ab
149dd1b5cc
1562782951
hex3ecdaea0

1053666976 has 48 divisors (see below), whose sum is σ = 2150253000. Its totient is φ = 507644928.

The previous prime is 1053666973. The next prime is 1053666979. The reversal of 1053666976 is 6796663501.

It is an interprime number because it is at equal distance from previous prime (1053666973) and next prime (1053666979).

It can be written as a sum of positive squares in 4 ways, for example, as 1031951376 + 21715600 = 32124^2 + 4660^2 .

It is a super-2 number, since 2×10536669762 = 2220428192625969152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053666973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 679450 + ... + 680998.

Almost surely, 21053666976 is an apocalyptic number.

1053666976 is a gapful number since it is divisible by the number (16) 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 1053666976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075126500).

1053666976 is an abundant number, since it is smaller than the sum of its proper divisors (1096586024).

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

1053666976 is a wasteful number, since it uses less digits than its factorization.

1053666976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 49.

The square root of 1053666976 is about 32460.2368444841. The cubic root of 1053666976 is about 1017.5781887688.

The spelling of 1053666976 in words is "one billion, fifty-three million, six hundred sixty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 733 928 1466 1549 2932 3098 5864 6196 11728 12392 21257 23456 24784 42514 44921 49568 85028 89842 170056 179684 340112 359368 680224 718736 1135417 1437472 2270834 4541668 9083336 18166672 32927093 36333344 65854186 131708372 263416744 526833488 1053666976