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100480 = 275157
BaseRepresentation
bin11000100010000000
312002211111
4120202000
511203410
62053104
7565642
oct304200
9162744
10100480
1169546
124a194
1336973
1428892
151eb8a
hex18880

100480 has 32 divisors (see below), whose sum is σ = 241740. Its totient is φ = 39936.

The previous prime is 100469. The next prime is 100483. The reversal of 100480 is 84001.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 3136 = 312^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 100480.

It is not an unprimeable number, because it can be changed into a prime (100483) by changing a digit.

100480 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 3 ways as a sum of consecutive naturals, for example, 562 + ... + 718.

2100480 is an apocalyptic number.

100480 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 100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120870).

100480 is an abundant number, since it is smaller than the sum of its proper divisors (141260).

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

100480 is an equidigital number, since it uses as much as digits as its factorization.

100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 100480 is about 316.9858040985. The cubic root of 100480 is about 46.4900352486.

Adding to 100480 its reverse (84001), we get a palindrome (184481).

The spelling of 100480 in words is "one hundred thousand, four hundred eighty".