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1320000000 = 2935711
BaseRepresentation
bin100111010101101…
…1001101000000000
310101222210221120220
41032223121220000
510200410000000
6334552103040
744465546334
oct11653315000
93358727526
101320000000
116181185a0
1230a094a80
1318061b3b7
14c74497c4
157ad411a0
hex4ead9a00

1320000000 has 320 divisors, whose sum is σ = 4795300224. Its totient is φ = 320000000.

The previous prime is 1319999987. The next prime is 1320000001. The reversal of 1320000000 is 231.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119999995 + ... + 120000005.

Almost surely, 21320000000 is an apocalyptic number.

1320000000 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 1320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397650112).

1320000000 is an abundant number, since it is smaller than the sum of its proper divisors (3475300224).

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

1320000000 is an frugal number, since it uses more digits than its factorization.

1320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 1320000000 is about 36331.8042491699. The cubic root of 1320000000 is about 1096.9613104865.

Adding to 1320000000 its reverse (231), we get a palindrome (1320000231).

The spelling of 1320000000 in words is "one billion, three hundred twenty million", and thus it is an aban number.