Search a number
-
+
5322000 = 24353887
BaseRepresentation
bin10100010011010100010000
3101000101102010
4110103110100
52330301000
6310022520
763144015
oct24232420
911011363
105322000
113005552
121947a40
131144518
149c770c
15701d50
hex513510

5322000 has 80 divisors (see below), whose sum is σ = 17177472. Its totient is φ = 1417600.

The previous prime is 5321983. The next prime is 5322007. The reversal of 5322000 is 2235.

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 (12).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (5322007) 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, 5557 + ... + 6443.

Almost surely, 25322000 is an apocalyptic number.

5322000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588736).

5322000 is an abundant number, since it is smaller than the sum of its proper divisors (11855472).

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

5322000 is a wasteful number, since it uses less digits than its factorization.

5322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 5322000 is about 2306.9460331789. The cubic root of 5322000 is about 174.5922479497.

Adding to 5322000 its reverse (2235), we get a palindrome (5324235).

The spelling of 5322000 in words is "five million, three hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 887 1000 1200 1500 1774 2000 2661 3000 3548 4435 5322 6000 7096 8870 10644 13305 14192 17740 21288 22175 26610 35480 42576 44350 53220 66525 70960 88700 106440 110875 133050 177400 212880 221750 266100 332625 354800 443500 532200 665250 887000 1064400 1330500 1774000 2661000 5322000