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5580414 = 234721937
BaseRepresentation
bin10101010010011001111110
3101111111220000
4111102121332
52412033124
6315335130
765301300
oct25223176
911444800
105580414
113171714
121a514a6
131205028
14a53970
157536c9
hex55267e

5580414 has 120 divisors (see below), whose sum is σ = 15725160. Its totient is φ = 1469664.

The previous prime is 5580409. The next prime is 5580457. The reversal of 5580414 is 4140855.

It is a super-2 number, since 2×55804142 = 62282040822792, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 150804 + ... + 150840.

It is an arithmetic number, because the mean of its divisors is an integer number (131043).

Almost surely, 25580414 is an apocalyptic number.

5580414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5580414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862580).

5580414 is an abundant number, since it is smaller than the sum of its proper divisors (10144746).

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

5580414 is a wasteful number, since it uses less digits than its factorization.

5580414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

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

The square root of 5580414 is about 2362.2899906658. The cubic root of 5580414 is about 177.3735289000.

The spelling of 5580414 in words is "five million, five hundred eighty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 37 38 42 49 54 57 63 74 81 98 111 114 126 133 147 162 171 189 222 259 266 294 333 342 378 399 441 513 518 567 666 703 777 798 882 931 999 1026 1134 1197 1323 1406 1539 1554 1813 1862 1998 2109 2331 2394 2646 2793 2997 3078 3591 3626 3969 4218 4662 4921 5439 5586 5994 6327 6993 7182 7938 8379 9842 10773 10878 12654 13986 14763 16317 16758 18981 20979 21546 25137 29526 32634 34447 37962 41958 44289 48951 50274 56943 68894 75411 88578 97902 103341 113886 132867 146853 150822 206682 265734 293706 310023 398601 620046 797202 930069 1860138 2790207 5580414