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5005350 = 2325272227
BaseRepresentation
bin10011000110000000100110
3100102022001100
4103012000212
52240132400
6255140530
760354600
oct23060046
910368040
105005350
112909659
121814746
13106335c
14944170
1568d100
hex4c6026

5005350 has 108 divisors (see below), whose sum is σ = 15712164. Its totient is φ = 1139040.

The previous prime is 5005339. The next prime is 5005367. The reversal of 5005350 is 535005.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 21937 + ... + 22163.

It is an arithmetic number, because the mean of its divisors is an integer number (145483).

Almost surely, 25005350 is an apocalyptic number.

5005350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856082).

5005350 is an abundant number, since it is smaller than the sum of its proper divisors (10706814).

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

5005350 is a wasteful number, since it uses less digits than its factorization.

5005350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 5005350 is about 2237.2639540296. The cubic root of 5005350 is about 171.0585620699.

The spelling of 5005350 in words is "five million, five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 227 245 294 315 350 441 450 454 490 525 630 681 735 882 1050 1135 1225 1362 1470 1575 1589 2043 2205 2270 2450 3150 3178 3405 3675 4086 4410 4767 5675 6810 7350 7945 9534 10215 11025 11123 11350 14301 15890 17025 20430 22050 22246 23835 28602 33369 34050 39725 47670 51075 55615 66738 71505 79450 100107 102150 111230 119175 143010 166845 200214 238350 278075 333690 357525 500535 556150 715050 834225 1001070 1668450 2502675 5005350