Search a number
-
+
5632880 = 2451137173
BaseRepresentation
bin10101011111001101110000
3101121011212012
4111133031300
52420223010
6320422052
765610251
oct25371560
911534765
105632880
1131a8080
121a77928
131222b86
14a68b28
15764005
hex55f370

5632880 has 80 divisors (see below), whose sum is σ = 14757984. Its totient is φ = 1981440.

The previous prime is 5632859. The next prime is 5632883. The reversal of 5632880 is 882365.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632883) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32474 + ... + 32646.

Almost surely, 25632880 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 5632880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7378992).

5632880 is an abundant number, since it is smaller than the sum of its proper divisors (9125104).

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

5632880 is a wasteful number, since it uses less digits than its factorization.

5632880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 5632880 is about 2373.3689135910. The cubic root of 5632880 is about 177.9276733467.

It can be divided in two parts, 563 and 2880, that added together give a palindrome (3443).

The spelling of 5632880 in words is "five million, six hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 173 176 185 220 296 346 370 407 440 592 692 740 814 865 880 1384 1480 1628 1730 1903 2035 2768 2960 3256 3460 3806 4070 6401 6512 6920 7612 8140 9515 12802 13840 15224 16280 19030 25604 30448 32005 32560 38060 51208 64010 70411 76120 102416 128020 140822 152240 256040 281644 352055 512080 563288 704110 1126576 1408220 2816440 5632880