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5130090 = 2325717479
BaseRepresentation
bin10011100100011101101010
3100122122011100
4103210131222
52303130330
6301542230
761414350
oct23443552
910578140
105130090
112994349
121874976
1310a8074
149777d0
156b5060
hex4e476a

5130090 has 96 divisors (see below), whose sum is σ = 16174080. Its totient is φ = 1101312.

The previous prime is 5130089. The next prime is 5130101. The reversal of 5130090 is 900315.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10471 + ... + 10949.

It is an arithmetic number, because the mean of its divisors is an integer number (168480).

Almost surely, 25130090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5130090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087040).

5130090 is an abundant number, since it is smaller than the sum of its proper divisors (11043990).

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

5130090 is a wasteful number, since it uses less digits than its factorization.

5130090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 5130090 is about 2264.9701984794. The cubic root of 5130090 is about 172.4679209409.

Adding to 5130090 its product of nonzero digits (135), we get a square (5130225 = 22652).

The spelling of 5130090 in words is "five million, one hundred thirty thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 306 315 357 479 510 595 630 714 765 958 1071 1190 1437 1530 1785 2142 2395 2874 3353 3570 4311 4790 5355 6706 7185 8143 8622 10059 10710 14370 16286 16765 20118 21555 24429 30177 33530 40715 43110 48858 50295 57001 60354 73287 81430 100590 114002 122145 146574 150885 171003 244290 285005 301770 342006 366435 513009 570010 732870 855015 1026018 1710030 2565045 5130090