Search a number
-
+
5181840 = 243352399
BaseRepresentation
bin10011110001000110010000
3100202021011000
4103301012100
52311304330
6303022000
762021256
oct23610620
910667130
105181840
112a1a214
12189a900
1310c57a1
1498c5d6
156c5560
hex4f1190

5181840 has 80 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 1381248.

The previous prime is 5181829. The next prime is 5181859. The reversal of 5181840 is 481815.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961 + ... + 3359.

It is an arithmetic number, because the mean of its divisors is an integer number (223200).

Almost surely, 25181840 is an apocalyptic number.

5181840 is the 1440-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5181840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928000).

5181840 is an abundant number, since it is smaller than the sum of its proper divisors (12674160).

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

5181840 is a wasteful number, since it uses less digits than its factorization.

5181840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 5181840 is about 2276.3655242513. The cubic root of 5181840 is about 173.0459076047.

The spelling of 5181840 in words is "five million, one hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2399 4798 7197 9596 11995 14394 19192 21591 23990 28788 35985 38384 43182 47980 57576 64773 71970 86364 95960 107955 115152 129546 143940 172728 191920 215910 259092 287880 323865 345456 431820 518184 575760 647730 863640 1036368 1295460 1727280 2590920 5181840