Search a number
-
+
5259030 = 235779317
BaseRepresentation
bin10100000011111100010110
3100220012000220
4110003330112
52321242110
6304415210
762462310
oct24037426
910805026
105259030
112a72207
121917506
13112196a
149ac7b0
156dd370
hex503f16

5259030 has 64 divisors (see below), whose sum is σ = 14653440. Its totient is φ = 1183104.

The previous prime is 5259013. The next prime is 5259047. The reversal of 5259030 is 309525.

5259030 = T1 + T2 + ... + T315.

5259030 is a nontrivial binomial coefficient, being equal to C(317, 3).

It is an interprime number because it is at equal distance from previous prime (5259013) and next prime (5259047).

It is a congruent number.

It is an unprimeable number.

It is the 315-th tetrahedral number.

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 31 ways as a sum of consecutive naturals, for example, 16432 + ... + 16748.

It is an arithmetic number, because the mean of its divisors is an integer number (228960).

Almost surely, 25259030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5259030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326720).

5259030 is an abundant number, since it is smaller than the sum of its proper divisors (9394410).

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

5259030 is a wasteful number, since it uses less digits than its factorization.

5259030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 5259030 is about 2293.2575084364. The cubic root of 5259030 is about 173.9009212656.

The spelling of 5259030 in words is "five million, two hundred fifty-nine thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 79 105 158 210 237 317 395 474 553 634 790 951 1106 1185 1585 1659 1902 2219 2370 2765 3170 3318 4438 4755 5530 6657 8295 9510 11095 13314 16590 22190 25043 33285 50086 66570 75129 125215 150258 175301 250430 350602 375645 525903 751290 876505 1051806 1753010 2629515 5259030