Search a number
-
+
5487580 = 2257192063
BaseRepresentation
bin10100111011101111011100
3101022210112201
4110323233130
52401100310
6313341244
764433530
oct24735734
911283481
105487580
11310899a
121a07824
1311a19b7
14a2bbc0
15735e3a
hex53bbdc

5487580 has 48 divisors (see below), whose sum is σ = 13870080. Its totient is φ = 1781568.

The previous prime is 5487551. The next prime is 5487611. The reversal of 5487580 is 857845.

5487580 = T139 + T140 + ... + T328.

It is a super-2 number, since 2×54875802 = 60227068512800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 1629 + ... + 3691.

It is an arithmetic number, because the mean of its divisors is an integer number (288960).

Almost surely, 25487580 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 5487580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935040).

5487580 is an abundant number, since it is smaller than the sum of its proper divisors (8382500).

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

5487580 is a wasteful number, since it uses less digits than its factorization.

5487580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 5487580 is about 2342.5584304346. The cubic root of 5487580 is about 176.3844471525.

It can be divided in two parts, 548 and 7580, that added together give a triangular number (8128 = T127).

The spelling of 5487580 in words is "five million, four hundred eighty-seven thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2063 2660 4126 8252 10315 14441 20630 28882 39197 41260 57764 72205 78394 144410 156788 195985 274379 288820 391970 548758 783940 1097516 1371895 2743790 5487580