Search a number
-
+
5328720 = 243352467
BaseRepresentation
bin10100010100111101010000
3101000201122000
4110110331100
52331004340
6310114000
763202425
oct24247520
911021560
105328720
11300a601
12194b900
1311475b7
149c9d4c
15703d30
hex514f50

5328720 has 80 divisors (see below), whose sum is σ = 18361920. Its totient is φ = 1420416.

The previous prime is 5328677. The next prime is 5328727. The reversal of 5328720 is 278235.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5328727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 927 + ... + 3393.

It is an arithmetic number, because the mean of its divisors is an integer number (229524).

Almost surely, 25328720 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 5328720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180960).

5328720 is an abundant number, since it is smaller than the sum of its proper divisors (13033200).

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

5328720 is a wasteful number, since it uses less digits than its factorization.

5328720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5328720 is about 2308.4020447054. The cubic root of 5328720 is about 174.6657019416.

The spelling of 5328720 in words is "five million, three hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 2467 4934 7401 9868 12335 14802 19736 22203 24670 29604 37005 39472 44406 49340 59208 66609 74010 88812 98680 111015 118416 133218 148020 177624 197360 222030 266436 296040 333045 355248 444060 532872 592080 666090 888120 1065744 1332180 1776240 2664360 5328720