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1001438740 = 225137336469
BaseRepresentation
bin111011101100001…
…011111000010100
32120210101100200201
4323230023320110
54022332014430
6243212150244
733550042321
oct7354137024
92523340621
101001438740
11474316825
1223b468384
1312c622003
1497003b48
155cdb78ca
hex3bb0be14

1001438740 has 24 divisors (see below), whose sum is σ = 2104610760. Its totient is φ = 400272768.

The previous prime is 1001438723. The next prime is 1001438743. The reversal of 1001438740 is 478341001.

It can be written as a sum of positive squares in 4 ways, for example, as 300883716 + 700555024 = 17346^2 + 26468^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1001438699 and 1001438708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001438743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9226 + ... + 45694.

It is an arithmetic number, because the mean of its divisors is an integer number (87692115).

Almost surely, 21001438740 is an apocalyptic number.

1001438740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001438740 is an abundant number, since it is smaller than the sum of its proper divisors (1103172020).

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

1001438740 is a wasteful number, since it uses less digits than its factorization.

1001438740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37851 (or 37849 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 1001438740 is about 31645.5169020827. The cubic root of 1001438740 is about 1000.4793501867.

Adding to 1001438740 its reverse (478341001), we get a palindrome (1479779741).

The spelling of 1001438740 in words is "one billion, one million, four hundred thirty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 1373 2746 5492 6865 13730 27460 36469 72938 145876 182345 364690 729380 50071937 100143874 200287748 250359685 500719370 1001438740