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5105803160 = 2353717919273
BaseRepresentation
bin1001100000101010…
…00101111110011000
3111011211110200012202
410300111011332120
540424041200120
62202351025332
7240345416333
oct46025057630
914154420182
105105803160
112190102537
12ba5b0b248
13634a54903
1436616361a
151ed3a5875
hex130545f98

5105803160 has 64 divisors (see below), whose sum is σ = 11865074400. Its totient is φ = 1975919616.

The previous prime is 5105803147. The next prime is 5105803169. The reversal of 5105803160 is 613085015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105803169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255284 + ... + 274556.

Almost surely, 25105803160 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 5105803160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5932537200).

5105803160 is an abundant number, since it is smaller than the sum of its proper divisors (6759271240).

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

5105803160 is a wasteful number, since it uses less digits than its factorization.

5105803160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19500 (or 19496 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 5105803160 is about 71454.9029808312. The cubic root of 5105803160 is about 1721.9532479529.

Adding to 5105803160 its reverse (613085015), we get a palindrome (5718888175).

The spelling of 5105803160 in words is "five billion, one hundred five million, eight hundred three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 179 185 296 358 370 716 740 895 1432 1480 1790 3580 6623 7160 13246 19273 26492 33115 38546 52984 66230 77092 96365 132460 154184 192730 264920 385460 713101 770920 1426202 2852404 3449867 3565505 5704808 6899734 7131010 13799468 14262020 17249335 27598936 28524040 34498670 68997340 127645079 137994680 255290158 510580316 638225395 1021160632 1276450790 2552901580 5105803160