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1242351072 = 253223372137
BaseRepresentation
bin100101000001100…
…1100010111100000
310012120200222021200
41022003030113200
510021020213242
6323135521200
742533544534
oct11203142740
93176628250
101242351072
11588302826
122a8089200
1316a5021a1
14badd5bc4
157410404c
hex4a0cc5e0

1242351072 has 216 divisors, whose sum is σ = 3816526896. Its totient is φ = 382593024.

The previous prime is 1242351067. The next prime is 1242351073. The reversal of 1242351072 is 2701532421.

1242351072 is a `hidden beast` number, since 1 + 242 + 351 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242351073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9068188 + ... + 9068324.

It is an arithmetic number, because the mean of its divisors is an integer number (17669106).

Almost surely, 21242351072 is an apocalyptic number.

1242351072 is a gapful number since it is divisible by the number (12) 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 1242351072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908263448).

1242351072 is an abundant number, since it is smaller than the sum of its proper divisors (2574175824).

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

1242351072 is a wasteful number, since it uses less digits than its factorization.

1242351072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1242351072 is about 35247.0008936931. Note that the first 3 decimals coincide. The cubic root of 1242351072 is about 1075.0156325832.

Adding to 1242351072 its reverse (2701532421), we get a palindrome (3943883493).

It can be divided in two parts, 124 and 2351072, that added together give a triangular number (2351196 = T2168).

The spelling of 1242351072 in words is "one billion, two hundred forty-two million, three hundred fifty-one thousand, seventy-two".