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100400 = 2452251
BaseRepresentation
bin11000100000110000
312002201112
4120200300
511203100
62052452
7565466
oct304060
9162645
10100400
1169483
124a128
1336911
1428836
151eb35
hex18830

100400 has 30 divisors (see below), whose sum is σ = 242172. Its totient is φ = 40000.

The previous prime is 100393. The next prime is 100403. The reversal of 100400 is 4001.

Adding to 100400 its reverse (4001), we get a palindrome (104401).

It can be divided in two parts, 100 and 400, that multiplied together give a square (40000 = 2002).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 275 + ... + 525.

2100400 is an apocalyptic number.

100400 is a gapful number since it is divisible by the number (10) 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 100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121086).

100400 is an abundant number, since it is smaller than the sum of its proper divisors (141772).

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

100400 is a wasteful number, since it uses less digits than its factorization.

100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 100400 is about 316.8595903551. The cubic root of 100400 is about 46.4776938530.

The spelling of 100400 in words is "one hundred thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 251 400 502 1004 1255 2008 2510 4016 5020 6275 10040 12550 20080 25100 50200 100400