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1053531864 = 2332711190031
BaseRepresentation
bin111110110010111…
…001111011011000
32201102101222000200
4332302321323120
54124201004424
6252312502200
735051605320
oct7662717330
92642358020
101053531864
114a07670a0
122549aa960
1313a361048
149dcc4280
15627578c9
hex3ecb9ed8

1053531864 has 96 divisors (see below), whose sum is σ = 3557399040. Its totient is φ = 273643200.

The previous prime is 1053531833. The next prime is 1053531877. The reversal of 1053531864 is 4681353501.

1053531864 is a `hidden beast` number, since 10 + 53 + 531 + 8 + 64 = 666.

It is a super-2 number, since 2×10535318642 = 2219858776926628992, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89472 + ... + 100559.

It is an arithmetic number, because the mean of its divisors is an integer number (37056240).

Almost surely, 21053531864 is an apocalyptic number.

1053531864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1053531864 is an abundant number, since it is smaller than the sum of its proper divisors (2503867176).

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

1053531864 is a wasteful number, since it uses less digits than its factorization.

1053531864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190061 (or 190054 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1053531864 is about 32458.1555853071. The cubic root of 1053531864 is about 1017.5346921345.

The spelling of 1053531864 in words is "one billion, fifty-three million, five hundred thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 5544 190031 380062 570093 760124 1140186 1330217 1520248 1710279 2090341 2280372 2660434 3420558 3990651 4180682 4560744 5320868 6271023 6841116 7981302 8361364 10641736 11971953 12542046 13682232 14632387 15962604 16722728 18813069 23943906 25084092 29264774 31925208 37626138 43897161 47887812 50168184 58529548 75252276 87794322 95775624 117059096 131691483 150504552 175588644 263382966 351177288 526765932 1053531864