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215430 = 23543167
BaseRepresentation
bin110100100110000110
3101221111220
4310212012
523343210
64341210
71555035
oct644606
9357456
10215430
11137946
12a4806
1377097
145871c
1543c70
hex34986

215430 has 32 divisors (see below), whose sum is σ = 532224. Its totient is φ = 55776.

The previous prime is 215417. The next prime is 215443. The reversal of 215430 is 34512.

It is an interprime number because it is at equal distance from previous prime (215417) and next prime (215443).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

215430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1207 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2215430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112).

215430 is an abundant number, since it is smaller than the sum of its proper divisors (316794).

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

215430 is a wasteful number, since it uses less digits than its factorization.

215430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 215430 is about 464.1443740906. The cubic root of 215430 is about 59.9471757291.

Adding to 215430 its reverse (34512), we get a palindrome (249942).

It can be divided in two parts, 2154 and 30, that multiplied together give a triangular number (64620 = T359).

The spelling of 215430 in words is "two hundred fifteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 167 215 258 334 430 501 645 835 1002 1290 1670 2505 5010 7181 14362 21543 35905 43086 71810 107715 215430