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100430 = 2511283
BaseRepresentation
bin11000100001001110
312002202122
4120201032
511203210
62052542
7565541
oct304116
9162678
10100430
1169500
124a152
1336935
1428858
151eb55
hex1884e

100430 has 24 divisors (see below), whose sum is σ = 201096. Its totient is φ = 36080.

The previous prime is 100417. The next prime is 100447. The reversal of 100430 is 34001.

Adding to 100430 its reverse (34001), we get a palindrome (134431).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100430.

It is an unprimeable number.

100430 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1169 + ... + 1251.

It is an arithmetic number, because the mean of its divisors is an integer number (8379).

2100430 is an apocalyptic number.

100430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100430 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

100430 is a wasteful number, since it uses less digits than its factorization.

100430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 100430 is about 316.9069263995. The cubic root of 100430 is about 46.4823226444.

The spelling of 100430 in words is "one hundred thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 55 83 110 121 166 242 415 605 830 913 1210 1826 4565 9130 10043 20086 50215 100430