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1320010320 = 243519727919
BaseRepresentation
bin100111010101101…
…1100001001010000
310101222211110202010
41032223130021100
510200410312240
6334552222520
744465621406
oct11653341120
93358743663
101320010320
11618125322
1230a09aa40
13180622cc5
14c744d476
157ad44280
hex4eadc250

1320010320 has 80 divisors (see below), whose sum is σ = 4112951040. Its totient is φ = 350203392.

The previous prime is 1320010301. The next prime is 1320010327. The reversal of 1320010320 is 230100231.

It is a happy number.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 1320010296 and 1320010305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320010327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33321 + ... + 61239.

It is an arithmetic number, because the mean of its divisors is an integer number (51411888).

Almost surely, 21320010320 is an apocalyptic number.

1320010320 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 1320010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056475520).

1320010320 is an abundant number, since it is smaller than the sum of its proper divisors (2792940720).

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

1320010320 is a wasteful number, since it uses less digits than its factorization.

1320010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28132 (or 28126 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1320010320 is about 36331.9462732180. The cubic root of 1320010320 is about 1096.9641692267.

Adding to 1320010320 its reverse (230100231), we get a palindrome (1550110551).

The spelling of 1320010320 in words is "one billion, three hundred twenty million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 7880 9456 11820 15760 23640 27919 47280 55838 83757 111676 139595 167514 223352 279190 335028 418785 446704 558380 670056 837570 1116760 1340112 1675140 2233520 3350280 5500043 6700560 11000086 16500129 22000172 27500215 33000258 44000344 55000430 66000516 82500645 88000688 110000860 132001032 165001290 220001720 264002064 330002580 440003440 660005160 1320010320