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1327006080 = 27325230383
BaseRepresentation
bin100111100011000…
…1000000110000000
310102110222220010100
41033012020012000
510204203143310
6335402202400
744612236251
oct11706100600
93373886110
101327006080
11621073344
123104b3400
13181c022ca
14c8350b28
157b776ec0
hex4f188180

1327006080 has 96 divisors (see below), whose sum is σ = 4582337760. Its totient is φ = 353866752.

The previous prime is 1327006019. The next prime is 1327006081. The reversal of 1327006080 is 806007231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327006081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109432 + ... + 120951.

It is an arithmetic number, because the mean of its divisors is an integer number (47732685).

Almost surely, 21327006080 is an apocalyptic number.

1327006080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1327006080 is an abundant number, since it is smaller than the sum of its proper divisors (3255331680).

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

1327006080 is a wasteful number, since it uses less digits than its factorization.

1327006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230408 (or 230393 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1327006080 is about 36428.0946523422. The cubic root of 1327006080 is about 1098.8986442112.

The spelling of 1327006080 in words is "one billion, three hundred twenty-seven million, six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 230383 460766 691149 921532 1151915 1382298 1843064 2073447 2303830 2764596 3455745 3686128 4146894 4607660 5529192 6911490 7372256 8293788 9215320 10367235 11058384 13822980 14744512 16587576 18430640 20734470 22116768 27645960 29489024 33175152 36861280 41468940 44233536 55291920 66350304 73722560 82937880 88467072 110583840 132700608 147445120 165875760 221167680 265401216 331751520 442335360 663503040 1327006080