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214560 = 25325149
BaseRepresentation
bin110100011000100000
3101220022200
4310120200
523331220
64333200
71552353
oct643040
9356280
10214560
11137225
12a4200
1376878
145829a
1543890
hex34620

214560 has 72 divisors (see below), whose sum is σ = 737100. Its totient is φ = 56832.

The previous prime is 214559. The next prime is 214561. The reversal of 214560 is 65412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214559) and next prime (214561).

It can be written as a sum of positive squares in 2 ways, for example, as 197136 + 17424 = 444^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6 and base 12.

It is not an unprimeable number, because it can be changed into a prime (214561) 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, 1366 + ... + 1514.

2214560 is an apocalyptic number.

214560 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 214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368550).

214560 is an abundant number, since it is smaller than the sum of its proper divisors (522540).

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

214560 is a wasteful number, since it uses less digits than its factorization.

214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214560 is about 463.2062175749. The cubic root of 214560 is about 59.8663692681.

Adding to 214560 its reverse (65412), we get a palindrome (279972).

The spelling of 214560 in words is "two hundred fourteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 149 160 180 240 288 298 360 447 480 596 720 745 894 1192 1341 1440 1490 1788 2235 2384 2682 2980 3576 4470 4768 5364 5960 6705 7152 8940 10728 11920 13410 14304 17880 21456 23840 26820 35760 42912 53640 71520 107280 214560