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1242003840 = 273571131271
BaseRepresentation
bin100101000000111…
…0111100110000000
310012120001022222020
41022001313212000
510020423110330
6323124241440
742530600310
oct11201674600
93176038866
101242003840
11588095960
122a7b40280
1316a41011c
14bad45440
1574086210
hex4a077980

1242003840 has 512 divisors, whose sum is σ = 5113774080. Its totient is φ = 248832000.

The previous prime is 1242003839. The next prime is 1242003869. The reversal of 1242003840 is 483002421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1242003840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4582905 + ... + 4583175.

It is an arithmetic number, because the mean of its divisors is an integer number (9987840).

Almost surely, 21242003840 is an apocalyptic number.

1242003840 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 1242003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556887040).

1242003840 is an abundant number, since it is smaller than the sum of its proper divisors (3871770240).

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

1242003840 is a wasteful number, since it uses less digits than its factorization.

1242003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1242003840 is about 35242.0748537880. The cubic root of 1242003840 is about 1074.9154691059.

The spelling of 1242003840 in words is "one billion, two hundred forty-two million, three thousand, eight hundred forty".