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103194 = 2347213
BaseRepresentation
bin11001001100011010
312020120000
4121030122
511300234
62113430
7606600
oct311432
9166500
10103194
1170593
124b876
1337c80
1429870
1520899
hex1931a

103194 has 60 divisors (see below), whose sum is σ = 289674. Its totient is φ = 27216.

The previous prime is 103183. The next prime is 103217. The reversal of 103194 is 491301.

It can be written as a sum of positive squares in only one way, i.e., 99225 + 3969 = 315^2 + 63^2 .

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

It is an unprimeable number.

103194 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 29 ways as a sum of consecutive naturals, for example, 7932 + ... + 7944.

2103194 is an apocalyptic number.

103194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144837).

103194 is an abundant number, since it is smaller than the sum of its proper divisors (186480).

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

103194 is a wasteful number, since it uses less digits than its factorization.

103194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 103194 is about 321.2382293563. The cubic root of 103194 is about 46.9048929327.

Adding to 103194 its reverse (491301), we get a palindrome (594495).

The spelling of 103194 in words is "one hundred three thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 273 294 351 378 441 546 567 637 702 819 882 1053 1134 1274 1323 1638 1911 2106 2457 2646 3822 3969 4914 5733 7371 7938 11466 14742 17199 34398 51597 103194