Search a number
-
+
5236880 = 245112541
BaseRepresentation
bin10011111110100010010000
3100212001122112
4103332202100
52320040010
6304124452
762340605
oct23764220
910761575
105236880
112a57600
121906728
13111485c
149a46ac
156d6a05
hex4fe890

5236880 has 60 divisors (see below), whose sum is σ = 13407996. Its totient is φ = 1900800.

The previous prime is 5236879. The next prime is 5236897. The reversal of 5236880 is 886325.

It can be written as a sum of positive squares in 2 ways, for example, as 1982464 + 3254416 = 1408^2 + 1804^2 .

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 11 ways as a sum of consecutive naturals, for example, 9410 + ... + 9950.

Almost surely, 25236880 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 5236880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703998).

5236880 is an abundant number, since it is smaller than the sum of its proper divisors (8171116).

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

5236880 is a wasteful number, since it uses less digits than its factorization.

5236880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 559 counting only the distinct ones).

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

The square root of 5236880 is about 2288.4230378145. The cubic root of 5236880 is about 173.6564322047.

It can be divided in two parts, 5236 and 880, that added together give a palindrome (6116).

The spelling of 5236880 in words is "five million, two hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 541 605 880 968 1082 1210 1936 2164 2420 2705 4328 4840 5410 5951 8656 9680 10820 11902 21640 23804 29755 43280 47608 59510 65461 95216 119020 130922 238040 261844 327305 476080 523688 654610 1047376 1309220 2618440 5236880