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100398 = 2329577
BaseRepresentation
bin11000100000101110
312002201110
4120200232
511203043
62052450
7565464
oct304056
9162643
10100398
1169481
124a126
133690c
1428834
151eb33
hex1882e

100398 has 16 divisors (see below), whose sum is σ = 208080. Its totient is φ = 32256.

The previous prime is 100393. The next prime is 100403. The reversal of 100398 is 893001.

It is an interprime number because it is at equal distance from previous prime (100393) and next prime (100403).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100391) by changing a digit.

100398 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 7 ways as a sum of consecutive naturals, for example, 115 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (13005).

2100398 is an apocalyptic number.

100398 is an abundant number, since it is smaller than the sum of its proper divisors (107682).

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

100398 is a wasteful number, since it uses less digits than its factorization.

100398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 100398 is about 316.8564343674. The cubic root of 100398 is about 46.4773852341.

Adding to 100398 its reverse (893001), we get a palindrome (993399).

The spelling of 100398 in words is "one hundred thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 29 58 87 174 577 1154 1731 3462 16733 33466 50199 100398