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5130576 = 2432114179
BaseRepresentation
bin10011100100100101010000
3100122122211100
4103210211100
52303134301
6301544400
761415643
oct23444520
910578740
105130576
112994750
121875100
1310a8359
14977a5a
156b5286
hex4e4950

5130576 has 120 divisors (see below), whose sum is σ = 16248960. Its totient is φ = 1497600.

The previous prime is 5130571. The next prime is 5130577. The reversal of 5130576 is 6750315.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64905 + ... + 64983.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 25130576 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 5130576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

5130576 is an abundant number, since it is smaller than the sum of its proper divisors (11118384).

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

5130576 is a wasteful number, since it uses less digits than its factorization.

5130576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 5130576 is about 2265.0774821184. The cubic root of 5130576 is about 172.4733670288.

The spelling of 5130576 in words is "five million, one hundred thirty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 41 44 48 66 72 79 82 88 99 123 132 144 158 164 176 198 237 246 264 316 328 369 396 451 474 492 528 632 656 711 738 792 869 902 948 984 1264 1353 1422 1476 1584 1738 1804 1896 1968 2607 2706 2844 2952 3239 3476 3608 3792 4059 5214 5412 5688 5904 6478 6952 7216 7821 8118 9717 10428 10824 11376 12956 13904 15642 16236 19434 20856 21648 25912 29151 31284 32472 35629 38868 41712 51824 58302 62568 64944 71258 77736 106887 116604 125136 142516 155472 213774 233208 285032 320661 427548 466416 570064 641322 855096 1282644 1710192 2565288 5130576