Search a number
-
+
5445180 = 22325132179
BaseRepresentation
bin10100110001011000111100
3101020122101100
4110301120330
52343221210
6312413100
764166106
oct24613074
911218340
105445180
11308a054
1219a7190
131188600
14a1a576
157285c0
hex53163c

5445180 has 108 divisors (see below), whose sum is σ = 17985240. Its totient is φ = 1332864.

The previous prime is 5445173. The next prime is 5445197. The reversal of 5445180 is 815445.

It is a congruent number.

It is an unprimeable 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 35 ways as a sum of consecutive naturals, for example, 30331 + ... + 30509.

It is an arithmetic number, because the mean of its divisors is an integer number (166530).

Almost surely, 25445180 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 5445180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8992620).

5445180 is an abundant number, since it is smaller than the sum of its proper divisors (12540060).

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

5445180 is a wasteful number, since it uses less digits than its factorization.

5445180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5445180 is about 2333.4909470576. The cubic root of 5445180 is about 175.9289916719.

It can be divided in two parts, 5445 and 180, that multiplied together give a square (980100 = 9902).

The spelling of 5445180 in words is "five million, four hundred forty-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 179 180 195 234 260 338 358 390 468 507 537 585 676 716 780 845 895 1014 1074 1170 1521 1611 1690 1790 2028 2148 2327 2340 2535 2685 3042 3222 3380 3580 4654 5070 5370 6084 6444 6981 7605 8055 9308 10140 10740 11635 13962 15210 16110 20943 23270 27924 30251 30420 32220 34905 41886 46540 60502 69810 83772 90753 104715 121004 139620 151255 181506 209430 272259 302510 363012 418860 453765 544518 605020 907530 1089036 1361295 1815060 2722590 5445180