Search a number
-
+
5301780 = 22351129277
BaseRepresentation
bin10100001110011000010100
3100222100200020
4110032120110
52324124110
6305345140
763031041
oct24163024
910870606
105301780
112aa1340
1219381b0
131138263
149c01c8
156ead70
hex50e614

5301780 has 96 divisors (see below), whose sum is σ = 16813440. Its totient is φ = 1236480.

The previous prime is 5301757. The next prime is 5301781. The reversal of 5301780 is 871035.

It is a self number, because there is not a number n which added to its sum of digits gives 5301780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5301781) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19002 + ... + 19278.

It is an arithmetic number, because the mean of its divisors is an integer number (175140).

Almost surely, 25301780 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 5301780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8406720).

5301780 is an abundant number, since it is smaller than the sum of its proper divisors (11511660).

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

5301780 is a wasteful number, since it uses less digits than its factorization.

5301780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 5301780 is about 2302.5594454867. The cubic root of 5301780 is about 174.3708565195.

The spelling of 5301780 in words is "five million, three hundred one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 277 290 319 330 348 435 554 580 638 660 831 870 957 1108 1276 1385 1595 1662 1740 1914 2770 3047 3190 3324 3828 4155 4785 5540 6094 6380 8033 8310 9141 9570 12188 15235 16066 16620 18282 19140 24099 30470 32132 36564 40165 45705 48198 60940 80330 88363 91410 96396 120495 160660 176726 182820 240990 265089 353452 441815 481980 530178 883630 1060356 1325445 1767260 2650890 5301780