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215380 = 22511289
BaseRepresentation
bin110100100101010100
3101221110001
4310211110
523343010
64341044
71554634
oct644524
9357401
10215380
11137900
12a4784
1377059
14586c4
1543c3a
hex34954

215380 has 36 divisors (see below), whose sum is σ = 502740. Its totient is φ = 77440.

The previous prime is 215359. The next prime is 215381. The reversal of 215380 is 83512.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 156816 = 242^2 + 396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2376 + ... + 2464.

It is an arithmetic number, because the mean of its divisors is an integer number (13965).

2215380 is an apocalyptic number.

215380 is a gapful number since it is divisible by the number (20) 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 215380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251370).

215380 is an abundant number, since it is smaller than the sum of its proper divisors (287360).

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

215380 is a wasteful number, since it uses less digits than its factorization.

215380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 215380 is about 464.0905084140. The cubic root of 215380 is about 59.9425375780.

Adding to 215380 its reverse (83512), we get a palindrome (298892).

It can be divided in two parts, 215 and 380, that added together give a palindrome (595).

The spelling of 215380 in words is "two hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 121 178 220 242 356 445 484 605 890 979 1210 1780 1958 2420 3916 4895 9790 10769 19580 21538 43076 53845 107690 215380