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1242196800 = 2635213171171
BaseRepresentation
bin100101000001010…
…0110101101000000
310012120102010122220
41022002212231000
510021000244200
6323132331040
742532333005
oct11202465500
93176363586
101242196800
11588207929
122a8013a80
1316a479bc0
14bad958ac
15740c34a0
hex4a0a6b40

1242196800 has 336 divisors, whose sum is σ = 4651077312. Its totient is φ = 287539200.

The previous prime is 1242196799. The next prime is 1242196843. The reversal of 1242196800 is 86912421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1060215 + ... + 1061385.

It is an arithmetic number, because the mean of its divisors is an integer number (13842492).

Almost surely, 21242196800 is an apocalyptic number.

1242196800 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 1242196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2325538656).

1242196800 is an abundant number, since it is smaller than the sum of its proper divisors (3408880512).

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

1242196800 is a wasteful number, since it uses less digits than its factorization.

1242196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 1242196800 is about 35244.8123842361. The cubic root of 1242196800 is about 1074.9711331711.

The spelling of 1242196800 in words is "one billion, two hundred forty-two million, one hundred ninety-six thousand, eight hundred".