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5006430 = 23251113389
BaseRepresentation
bin10011000110010001011110
3100102100112100
4103012101132
52240201210
6255145530
760361002
oct23062136
910370470
105006430
11290a450
1218152a6
1310639b0
14944702
1568d5c0
hex4c645e

5006430 has 96 divisors (see below), whose sum is σ = 15331680. Its totient is φ = 1117440.

The previous prime is 5006429. The next prime is 5006431. The reversal of 5006430 is 346005.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5006429) and next prime (5006431).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12676 + ... + 13064.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

Almost surely, 25006430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665840).

5006430 is an abundant number, since it is smaller than the sum of its proper divisors (10325250).

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

5006430 is a wasteful number, since it uses less digits than its factorization.

5006430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5006430 is about 2237.5053072563. The cubic root of 5006430 is about 171.0708642373.

The spelling of 5006430 in words is "five million, six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 389 390 429 495 585 715 778 858 990 1167 1170 1287 1430 1945 2145 2334 2574 3501 3890 4279 4290 5057 5835 6435 7002 8558 10114 11670 12837 12870 15171 17505 21395 25285 25674 30342 35010 38511 42790 45513 50570 55627 64185 75855 77022 91026 111254 128370 151710 166881 192555 227565 278135 333762 385110 455130 500643 556270 834405 1001286 1668810 2503215 5006430