Search a number
-
+
100516 = 22131933
BaseRepresentation
bin11000100010100100
312002212211
4120202210
511204031
62053204
7566023
oct304244
9162784
10100516
1169579
124a204
13369a0
14288ba
151ebb1
hex188a4

100516 has 12 divisors (see below), whose sum is σ = 189532. Its totient is φ = 46368.

The previous prime is 100511. The next prime is 100517. The reversal of 100516 is 615001.

It can be written as a sum of positive squares in 2 ways, for example, as 40000 + 60516 = 200^2 + 246^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100496 and 100505.

It is not an unprimeable number, because it can be changed into a prime (100511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 915 + ... + 1018.

2100516 is an apocalyptic number.

It is an amenable number.

100516 is a deficient number, since it is larger than the sum of its proper divisors (89016).

100516 is a wasteful number, since it uses less digits than its factorization.

100516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 100516 is about 317.0425838906. The cubic root of 100516 is about 46.4955867396.

Adding to 100516 its reverse (615001), we get a palindrome (715517).

It can be divided in two parts, 10051 and 6, that multiplied together give a palindrome (60306).

The spelling of 100516 in words is "one hundred thousand, five hundred sixteen".

Divisors: 1 2 4 13 26 52 1933 3866 7732 25129 50258 100516