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1243013040 = 24355431487
BaseRepresentation
bin100101000010110…
…1101111110110000
310012121221121100000
41022011231332300
510021202404130
6323202030000
742542302503
oct11205557660
93177847300
101243013040
11588715105
122a8348300
1316a6a4599
14bb12913a
15741d5260
hex4a16dfb0

1243013040 has 240 divisors, whose sum is σ = 4432716288. Its totient is φ = 323543808.

The previous prime is 1243013017. The next prime is 1243013047. The reversal of 1243013040 is 403103421.

1243013040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×12430130402 = 3090162835220083200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1243013047) 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, 835177 + ... + 836663.

Almost surely, 21243013040 is an apocalyptic number.

1243013040 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 1243013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216358144).

1243013040 is an abundant number, since it is smaller than the sum of its proper divisors (3189703248).

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

1243013040 is a wasteful number, since it uses less digits than its factorization.

1243013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1243013040 is about 35256.3900591084. The cubic root of 1243013040 is about 1075.2065339606.

Adding to 1243013040 its reverse (403103421), we get a palindrome (1646116461).

The spelling of 1243013040 in words is "one billion, two hundred forty-three million, thirteen thousand, forty".