Search a number
-
+
1001513344 = 27134313997
BaseRepresentation
bin111011101100011…
…110000110000000
32120210112011000211
4323230132012000
54022341411334
6243213523504
733550502656
oct7354360600
92523464024
101001513344
11474367887
1223b4a3594
1312c649c60
1497022dd6
155cdcea64
hex3bb1e180

1001513344 has 64 divisors (see below), whose sum is σ = 2198805840. Its totient is φ = 451454976.

The previous prime is 1001513341. The next prime is 1001513371. The reversal of 1001513344 is 4433151001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001513341) 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, 64554 + ... + 78550.

Almost surely, 21001513344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099402920).

1001513344 is an abundant number, since it is smaller than the sum of its proper divisors (1197292496).

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

1001513344 is a wasteful number, since it uses less digits than its factorization.

1001513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14067 (or 14055 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1001513344 is about 31646.6956252940. The cubic root of 1001513344 is about 1000.5041937459.

Adding to 1001513344 its reverse (4433151001), we get a palindrome (5434664345).

The spelling of 1001513344 in words is "one billion, one million, five hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 128 172 208 344 416 559 688 832 1118 1376 1664 2236 2752 4472 5504 8944 13997 17888 27994 35776 55988 71552 111976 181961 223952 363922 447904 601871 727844 895808 1203742 1455688 1791616 2407484 2911376 4814968 5822752 7824323 9629936 11645504 15648646 19259872 23291008 31297292 38519744 62594584 77039488 125189168 250378336 500756672 1001513344