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1242203040 = 253451373101
BaseRepresentation
bin100101000001010…
…1000001110100000
310012120102110020000
41022002220032200
510021000444130
6323132420000
742532360131
oct11202501640
93176373200
101242203040
11588211591
122a8017600
1316a47c9b0
14bad97c88
15740c5260
hex4a0a83a0

1242203040 has 480 divisors, whose sum is σ = 4833225936. Its totient is φ = 298598400.

The previous prime is 1242203009. The next prime is 1242203057. The reversal of 1242203040 is 403022421.

It can be written as a sum of positive squares in 8 ways, for example, as 696326544 + 545876496 = 26388^2 + 23364^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12298990 + ... + 12299090.

Almost surely, 21242203040 is an apocalyptic number.

1242203040 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 1242203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416612968).

1242203040 is an abundant number, since it is smaller than the sum of its proper divisors (3591022896).

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

1242203040 is a wasteful number, since it uses less digits than its factorization.

1242203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1242203040 is about 35244.9009077909. The cubic root of 1242203040 is about 1074.9729331566.

Adding to 1242203040 its reverse (403022421), we get a palindrome (1645225461).

It can be divided in two parts, 124220 and 3040, that added together give a triangular number (127260 = T504).

The spelling of 1242203040 in words is "one billion, two hundred forty-two million, two hundred three thousand, forty".