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1164080640 = 2935151573
BaseRepresentation
bin100010101100010…
…0111011000000000
310000010102102102210
41011120213120000
54341001040030
6311302142120
740563344052
oct10530473000
93003372383
101164080640
11548103018
12285a21940
13157229118
14b085d8d2
156c2e2bb0
hex45627600

1164080640 has 80 divisors (see below), whose sum is σ = 3721444848. Its totient is φ = 310419456.

The previous prime is 1164080639. The next prime is 1164080653. The reversal of 1164080640 is 460804611.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1164080598 and 1164080607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68107 + ... + 83466.

Almost surely, 21164080640 is an apocalyptic number.

1164080640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1164080640 is an abundant number, since it is smaller than the sum of its proper divisors (2557364208).

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

1164080640 is an equidigital number, since it uses as much as digits as its factorization.

1164080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151599 (or 151583 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1164080640 is about 34118.6259981260. The cubic root of 1164080640 is about 1051.9482016066.

The spelling of 1164080640 in words is "one billion, one hundred sixty-four million, eighty 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 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 151573 303146 454719 606292 757865 909438 1212584 1515730 1818876 2273595 2425168 3031460 3637752 4547190 4850336 6062920 7275504 9094380 9700672 12125840 14551008 18188760 19401344 24251680 29102016 36377520 38802688 48503360 58204032 72755040 77605376 97006720 116408064 145510080 194013440 232816128 291020160 388026880 582040320 1164080640