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1320450000 = 243558803
BaseRepresentation
bin100111010110100…
…0111011111010000
310102000122210212120
41032231013133100
510201013400000
6335005454240
744502432312
oct11655073720
93360583776
101320450000
116183a56a1
1230a271380
1318074817c
14c75257b2
157adce6a0
hex4eb477d0

1320450000 has 120 divisors (see below), whose sum is σ = 4264164576. Its totient is φ = 352080000.

The previous prime is 1320449957. The next prime is 1320450017. The reversal of 1320450000 is 540231.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145599 + ... + 154401.

Almost surely, 21320450000 is an apocalyptic number.

1320450000 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 1320450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132082288).

1320450000 is an abundant number, since it is smaller than the sum of its proper divisors (2943714576).

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

1320450000 is an frugal number, since it uses more digits than its factorization.

1320450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8839 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1320450000 is about 36337.9966426329. The cubic root of 1320450000 is about 1097.0859510183.

Adding to 1320450000 its reverse (540231), we get a palindrome (1320990231).

The spelling of 1320450000 in words is "one billion, three hundred twenty million, four hundred fifty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3125 3750 5000 6000 6250 7500 8803 9375 10000 12500 15000 17606 18750 25000 26409 30000 35212 37500 44015 50000 52818 70424 75000 88030 105636 132045 140848 150000 176060 211272 220075 264090 352120 422544 440150 528180 660225 704240 880300 1056360 1100375 1320450 1760600 2112720 2200750 2640900 3301125 3521200 4401500 5281800 5501875 6602250 8803000 10563600 11003750 13204500 16505625 17606000 22007500 26409000 27509375 33011250 44015000 52818000 55018750 66022500 82528125 88030000 110037500 132045000 165056250 220075000 264090000 330112500 440150000 660225000 1320450000