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513425340 = 2232519714479
BaseRepresentation
bin11110100110100…
…011111110111100
31022210002201011100
4132212203332330
52022414102330
6122540253100
715503020611
oct3646437674
91283081140
10513425340
112438a706a
12123b41190
13824a5a9c
144c28c508
153011b060
hex1e9a3fbc

513425340 has 72 divisors (see below), whose sum is σ = 1565403840. Its totient is φ = 136209024.

The previous prime is 513425299. The next prime is 513425359. The reversal of 513425340 is 43524315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28221 + ... + 42699.

It is an arithmetic number, because the mean of its divisors is an integer number (21741720).

Almost surely, 2513425340 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 513425340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782701920).

513425340 is an abundant number, since it is smaller than the sum of its proper divisors (1051978500).

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

513425340 is a wasteful number, since it uses less digits than its factorization.

513425340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14691 (or 14686 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 513425340 is about 22658.8909702130. The cubic root of 513425340 is about 800.7416767653.

Adding to 513425340 its reverse (43524315), we get a palindrome (556949655).

The spelling of 513425340 in words is "five hundred thirteen million, four hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3546 3940 5910 7092 8865 11820 14479 17730 28958 35460 43437 57916 72395 86874 130311 144790 173748 217185 260622 289580 434370 521244 651555 868740 1303110 2606220 2852363 5704726 8557089 11409452 14261815 17114178 25671267 28523630 34228356 42785445 51342534 57047260 85570890 102685068 128356335 171141780 256712670 513425340