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1053464640 = 26351097359
BaseRepresentation
bin111110110010101…
…001100001000000
32201102021112210220
4332302221201000
54124141332030
6252311223040
735051205324
oct7662514100
92642245726
101053464640
114a0720638
12254977a80
1313a339577
149dca7984
1562742a10
hex3eca9840

1053464640 has 56 divisors (see below), whose sum is σ = 3344753280. Its totient is φ = 280923648.

The previous prime is 1053464597. The next prime is 1053464641. The reversal of 1053464640 is 464643501.

It is a super-2 number, since 2×10534646402 = 2219575495460659200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053464641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547720 + ... + 549639.

Almost surely, 21053464640 is an apocalyptic number.

1053464640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1053464640 is an abundant number, since it is smaller than the sum of its proper divisors (2291288640).

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

1053464640 is a wasteful number, since it uses less digits than its factorization.

1053464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097379 (or 1097369 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 1053464640 is about 32457.1200201127. The cubic root of 1053464640 is about 1017.5130493128.

The spelling of 1053464640 in words is "one billion, fifty-three million, four hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1097359 2194718 3292077 4389436 5486795 6584154 8778872 10973590 13168308 16460385 17557744 21947180 26336616 32920770 35115488 43894360 52673232 65841540 70230976 87788720 105346464 131683080 175577440 210692928 263366160 351154880 526732320 1053464640