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1299942000 = 243353719181
BaseRepresentation
bin100110101111011…
…1000101001110000
310100121001220012000
41031132320221300
510130241121000
6332554134000
744133216240
oct11536705160
93317056160
101299942000
11607868735
12303421300
13179417766
14c4907b20
15791cd000
hex4d7b8a70

1299942000 has 640 divisors, whose sum is σ = 5632972800. Its totient is φ = 279936000.

The previous prime is 1299941999. The next prime is 1299942001. The reversal of 1299942000 is 2499921.

1299942000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1299941999) and next prime (1299942001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1299942001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7181910 + ... + 7182090.

It is an arithmetic number, because the mean of its divisors is an integer number (8801520).

Almost surely, 21299942000 is an apocalyptic number.

1299942000 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 1299942000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816486400).

1299942000 is an abundant number, since it is smaller than the sum of its proper divisors (4333030800).

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

1299942000 is a wasteful number, since it uses less digits than its factorization.

1299942000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1299942000 is about 36054.7084303840. The cubic root of 1299942000 is about 1091.3766518486.

The spelling of 1299942000 in words is "one billion, two hundred ninety-nine million, nine hundred forty-two thousand".