Search a number
-
+
100050 = 23522329
BaseRepresentation
bin11000011011010010
312002020120
4120123102
511200200
62051110
7564456
oct303322
9162216
10100050
1169195
1249a96
1336702
1428666
151e9a0
hex186d2

100050 has 48 divisors (see below), whose sum is σ = 267840. Its totient is φ = 24640.

The previous prime is 100049. The next prime is 100057. The reversal of 100050 is 50001.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3436 + ... + 3464.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2100050 is an apocalyptic number.

100050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133920).

100050 is an abundant number, since it is smaller than the sum of its proper divisors (167790).

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

100050 is a wasteful number, since it uses less digits than its factorization.

100050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 100050 is about 316.3068130787. The cubic root of 100050 is about 46.4236230285.

Adding to 100050 its reverse (50001), we get a palindrome (150051).

The spelling of 100050 in words is "one hundred thousand, fifty".

Divisors: 1 2 3 5 6 10 15 23 25 29 30 46 50 58 69 75 87 115 138 145 150 174 230 290 345 435 575 667 690 725 870 1150 1334 1450 1725 2001 2175 3335 3450 4002 4350 6670 10005 16675 20010 33350 50025 100050