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5209260 = 2235779157
BaseRepresentation
bin10011110111110010101100
3100210122202120
4103313302230
52313144020
6303352540
762164230
oct23676254
910718676
105209260
112a38881
1218b2750
131105104
149985c0
156cd740
hex4f7cac

5209260 has 96 divisors (see below), whose sum is σ = 16988160. Its totient is φ = 1168128.

The previous prime is 5209177. The next prime is 5209279. The reversal of 5209260 is 629025.

5209260 = T1 + T2 + ... + T314.

5209260 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

5209260 is a nontrivial binomial coefficient, being equal to C(316, 3).

It is a self number, because there is not a number n which added to its sum of digits gives 5209260.

It is an unprimeable number.

It is the 314-th tetrahedral number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33102 + ... + 33258.

It is an arithmetic number, because the mean of its divisors is an integer number (176960).

Almost surely, 25209260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5209260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494080).

5209260 is an abundant number, since it is smaller than the sum of its proper divisors (11778900).

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

5209260 is a wasteful number, since it uses less digits than its factorization.

5209260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 5209260 is about 2282.3803364032. The cubic root of 5209260 is about 173.3505982145.

The spelling of 5209260 in words is "five million, two hundred nine thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 79 84 105 140 157 158 210 237 314 316 395 420 471 474 553 628 785 790 942 948 1099 1106 1185 1570 1580 1659 1884 2198 2212 2355 2370 2765 3140 3297 3318 4396 4710 4740 5495 5530 6594 6636 8295 9420 10990 11060 12403 13188 16485 16590 21980 24806 32970 33180 37209 49612 62015 65940 74418 86821 124030 148836 173642 186045 248060 260463 347284 372090 434105 520926 744180 868210 1041852 1302315 1736420 2604630 5209260