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208134 = 23231373
BaseRepresentation
bin110010110100000110
3101120111200
4302310012
523130014
64243330
71524543
oct626406
9346450
10208134
11132413
12a0546
1373974
1455bca
1541a09
hex32d06

208134 has 24 divisors (see below), whose sum is σ = 466752. Its totient is φ = 66960.

The previous prime is 208129. The next prime is 208139. The reversal of 208134 is 431802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (208129) and next prime (208139).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208139) 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, 372 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (19448).

2208134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233376).

208134 is an abundant number, since it is smaller than the sum of its proper divisors (258618).

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

208134 is a wasteful number, since it uses less digits than its factorization.

208134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 208134 is about 456.2170536050. The cubic root of 208134 is about 59.2626421776.

Adding to 208134 its reverse (431802), we get a palindrome (639936).

It can be divided in two parts, 208 and 134, that multiplied together give a palindrome (27872).

The spelling of 208134 in words is "two hundred eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 373 558 746 1119 2238 3357 6714 11563 23126 34689 69378 104067 208134