Search a number
-
+
195408 = 24322359
BaseRepresentation
bin101111101101010000
3100221001100
4233231100
522223113
64104400
71442463
oct575520
9327040
10195408
111238a4
1295100
136ac35
14512da
153cd73
hex2fb50

195408 has 60 divisors (see below), whose sum is σ = 580320. Its totient is φ = 61248.

The previous prime is 195407. The next prime is 195413. The reversal of 195408 is 804591.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195401) 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, 3283 + ... + 3341.

It is an arithmetic number, because the mean of its divisors is an integer number (9672).

2195408 is an apocalyptic number.

195408 is a gapful number since it is divisible by the number (18) 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 195408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290160).

195408 is an abundant number, since it is smaller than the sum of its proper divisors (384912).

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

195408 is a wasteful number, since it uses less digits than its factorization.

195408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 195408 is about 442.0497709535. The cubic root of 195408 is about 58.0293153430.

Adding to 195408 its reverse (804591), we get a palindrome (999999).

The spelling of 195408 in words is "one hundred ninety-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 59 69 72 92 118 138 144 177 184 207 236 276 354 368 414 472 531 552 708 828 944 1062 1104 1357 1416 1656 2124 2714 2832 3312 4071 4248 5428 8142 8496 10856 12213 16284 21712 24426 32568 48852 65136 97704 195408