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1242134208 = 26327714339
BaseRepresentation
bin100101000001001…
…0111011011000000
310012120021221210200
41022002113123000
510020441243313
6323131125200
742531652350
oct11202273300
93176257720
101242134208
115881748a7
122a7ba3800
1316a457573
14bad7ab60
15740aeb73
hex4a0976c0

1242134208 has 168 divisors, whose sum is σ = 4127235840. Its totient is φ = 349816320.

The previous prime is 1242134167. The next prime is 1242134209. The reversal of 1242134208 is 8024312421.

1242134208 is a `hidden beast` number, since 1 + 2 + 421 + 34 + 208 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (1242134209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284103 + ... + 288441.

It is an arithmetic number, because the mean of its divisors is an integer number (24566880).

Almost surely, 21242134208 is an apocalyptic number.

1242134208 is a gapful number since it is divisible by the number (18) 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 1242134208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063617920).

1242134208 is an abundant number, since it is smaller than the sum of its proper divisors (2885101632).

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

1242134208 is a wasteful number, since it uses less digits than its factorization.

1242134208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1242134208 is about 35243.9244125849. The cubic root of 1242134208 is about 1074.9530775986.

Adding to 1242134208 its reverse (8024312421), we get a palindrome (9266446629).

The spelling of 1242134208 in words is "one billion, two hundred forty-two million, one hundred thirty-four thousand, two hundred eight".