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5130405 = 33576189
BaseRepresentation
bin10011100100100010100101
3100122122121000
4103210202211
52303133110
6301543513
761415310
oct23444245
910578530
105130405
112994605
121874b99
1310a8257
14977977
156b51c0
hex4e48a5

5130405 has 64 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 2280960.

The previous prime is 5130397. The next prime is 5130409. The reversal of 5130405 is 5040315.

5130405 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5130405 - 23 = 5130397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5130409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57601 + ... + 57689.

It is an arithmetic number, because the mean of its divisors is an integer number (167400).

Almost surely, 25130405 is an apocalyptic number.

It is an amenable number.

5130405 is an abundant number, since it is smaller than the sum of its proper divisors (5583195).

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

5130405 is a wasteful number, since it uses less digits than its factorization.

5130405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5130405 is about 2265.0397347508. The cubic root of 5130405 is about 172.4714508519.

The spelling of 5130405 in words is "five million, one hundred thirty thousand, four hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 61 63 89 105 135 183 189 267 305 315 427 445 549 623 801 915 945 1281 1335 1647 1869 2135 2403 2745 3115 3843 4005 5429 5607 6405 8235 9345 11529 12015 16287 16821 19215 27145 28035 38003 48861 57645 81435 84105 114009 146583 190015 244305 342027 570045 732915 1026081 1710135 5130405