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1330042000 = 2453795003
BaseRepresentation
bin100111101000110…
…1101010010010000
310102200201010121211
41033101231102100
510210442321000
6335551225504
744650112320
oct11721552220
93380633554
101330042000
11622857271
12311518294
13182726101
14c8901280
157bb767ba
hex4f46d490

1330042000 has 80 divisors (see below), whose sum is σ = 3675514752. Its totient is φ = 456009600.

The previous prime is 1330041967. The next prime is 1330042003. The reversal of 1330042000 is 2400331.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1330042003) 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, 33502 + ... + 61501.

Almost surely, 21330042000 is an apocalyptic number.

1330042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330042000 is an abundant number, since it is smaller than the sum of its proper divisors (2345472752).

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

1330042000 is an equidigital number, since it uses as much as digits as its factorization.

1330042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95033 (or 95017 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1330042000 is about 36469.7408819970. The cubic root of 1330042000 is about 1099.7360248112.

Adding to 1330042000 its reverse (2400331), we get a palindrome (1332442331).

The spelling of 1330042000 in words is "one billion, three hundred thirty million, forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 95003 190006 380012 475015 665021 760024 950030 1330042 1520048 1900060 2375075 2660084 3325105 3800120 4750150 5320168 6650210 7600240 9500300 10640336 11875375 13300420 16625525 19000600 23750750 26600840 33251050 38001200 47501500 53201680 66502100 83127625 95003000 133004200 166255250 190006000 266008400 332510500 665021000 1330042000