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1042212240 = 243257379251
BaseRepresentation
bin111110000111101…
…110010110010000
32200122002212102100
4332013232112100
54113301242430
6251230120400
734553441436
oct7607562620
92618085370
101042212240
11495335533
12251050100
13137bc9944
149c5b8d56
156176d960
hex3e1ee590

1042212240 has 240 divisors, whose sum is σ = 3607269120. Its totient is φ = 269568000.

The previous prime is 1042212211. The next prime is 1042212247. The reversal of 1042212240 is 422122401.

1042212240 is a `hidden beast` number, since 1 + 0 + 422 + 1 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1042212247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4152115 + ... + 4152365.

It is an arithmetic number, because the mean of its divisors is an integer number (15030288).

Almost surely, 21042212240 is an apocalyptic number.

1042212240 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 1042212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803634560).

1042212240 is an abundant number, since it is smaller than the sum of its proper divisors (2565056880).

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

1042212240 is a wasteful number, since it uses less digits than its factorization.

1042212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1042212240 is about 32283.3120977387. The cubic root of 1042212240 is about 1013.8772770258.

Adding to 1042212240 its reverse (422122401), we get a palindrome (1464334641).

The spelling of 1042212240 in words is "one billion, forty-two million, two hundred twelve thousand, two hundred forty".