Search a number
-
+
106350 = 2352709
BaseRepresentation
bin11001111101101110
312101212220
4121331232
511400400
62140210
7622026
oct317556
9171786
10106350
11729a2
1251666
133953a
142aa86
15217a0
hex19f6e

106350 has 24 divisors (see below), whose sum is σ = 264120. Its totient is φ = 28320.

The previous prime is 106349. The next prime is 106357. The reversal of 106350 is 53601.

It is a super-2 number, since 2×1063502 = 22620645000, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106357) 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, 205 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (11005).

2106350 is an apocalyptic number.

106350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106350 is an abundant number, since it is smaller than the sum of its proper divisors (157770).

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

106350 is a wasteful number, since it uses less digits than its factorization.

106350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 106350 is about 326.1134771824. The cubic root of 106350 is about 47.3782663097.

Adding to 106350 its reverse (53601), we get a palindrome (159951).

The spelling of 106350 in words is "one hundred six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 709 1418 2127 3545 4254 7090 10635 17725 21270 35450 53175 106350