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1350760000 = 265433769
BaseRepresentation
bin101000010000010…
…1111011001000000
310111010200201101011
41100200233121000
510231243310000
6342011250304
745321161542
oct12040573100
93433621334
101350760000
11633517a87
12318449994
13186acb295
14cb575692
157d8ba2ba
hex5082f640

1350760000 has 70 divisors (see below), whose sum is σ = 3349544990. Its totient is φ = 540288000.

The previous prime is 1350759979. The next prime is 1350760001. The reversal of 1350760000 is 670531.

It can be written as a sum of positive squares in 5 ways, for example, as 295289856 + 1055470144 = 17184^2 + 32488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350760001) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 23116 + ... + 56884.

Almost surely, 21350760000 is an apocalyptic number.

1350760000 is a gapful number since it is divisible by the number (10) 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 1350760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674772495).

1350760000 is an abundant number, since it is smaller than the sum of its proper divisors (1998784990).

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

1350760000 is an frugal number, since it uses more digits than its factorization.

1350760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33801 (or 33776 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 1350760000 is about 36752.6869766008. The cubic root of 1350760000 is about 1105.4168080141.

The spelling of 1350760000 in words is "one billion, three hundred fifty million, seven hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 33769 40000 67538 135076 168845 270152 337690 540304 675380 844225 1080608 1350760 1688450 2161216 2701520 3376900 4221125 5403040 6753800 8442250 10806080 13507600 16884500 21105625 27015200 33769000 42211250 54030400 67538000 84422500 135076000 168845000 270152000 337690000 675380000 1350760000