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1231907040 = 2532572131779
BaseRepresentation
bin100100101101101…
…0110100011100000
310011212001100202200
41021123112203200
510010332011130
6322124013200
742346015500
oct11133264340
93155040680
101231907040
11582419aa1
122a4691200
131682b64a0
14b9877a00
157323e760
hex496d68e0

1231907040 has 864 divisors, whose sum is σ = 5646775680. Its totient is φ = 241532928.

The previous prime is 1231907029. The next prime is 1231907041. The reversal of 1231907040 is 407091321.

It is a junction number, because it is equal to n+sod(n) for n = 1231906995 and 1231907013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231907041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15593721 + ... + 15593799.

It is an arithmetic number, because the mean of its divisors is an integer number (6535620).

Almost surely, 21231907040 is an apocalyptic number.

1231907040 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 1231907040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823387840).

1231907040 is an abundant number, since it is smaller than the sum of its proper divisors (4414868640).

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

1231907040 is a wasteful number, since it uses less digits than its factorization.

1231907040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1231907040 is about 35098.5333026894. The cubic root of 1231907040 is about 1071.9947185453.

Adding to 1231907040 its reverse (407091321), we get a palindrome (1638998361).

The spelling of 1231907040 in words is "one billion, two hundred thirty-one million, nine hundred seven thousand, forty".