Search a number
-
+
100380 = 22357239
BaseRepresentation
bin11000100000011100
312002200210
4120200130
511203010
62052420
7565440
oct304034
9162623
10100380
1169465
124a110
13368c7
1428820
151eb20
hex1881c

100380 has 48 divisors (see below), whose sum is σ = 322560. Its totient is φ = 22848.

The previous prime is 100379. The next prime is 100391. The reversal of 100380 is 83001.

It is a super-2 number, since 2×1003802 = 20152288800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam 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 100380.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (6720).

2100380 is an apocalyptic number.

100380 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 100380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

100380 is an abundant number, since it is smaller than the sum of its proper divisors (222180).

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

100380 is a wasteful number, since it uses less digits than its factorization.

100380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100380 is about 316.8280290631. The cubic root of 100380 is about 46.4746074798.

Adding to 100380 its reverse (83001), we get a palindrome (183381).

The spelling of 100380 in words is "one hundred thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 239 420 478 717 956 1195 1434 1673 2390 2868 3346 3585 4780 5019 6692 7170 8365 10038 14340 16730 20076 25095 33460 50190 100380