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100530 = 23251117
BaseRepresentation
bin11000100010110010
312002220100
4120202302
511204110
62053230
7566043
oct304262
9162810
10100530
1169591
124a216
13369b1
14288ca
151ebc0
hex188b2

100530 has 24 divisors (see below), whose sum is σ = 261612. Its totient is φ = 26784.

The previous prime is 100523. The next prime is 100537. The reversal of 100530 is 35001.

It is an interprime number because it is at equal distance from previous prime (100523) and next prime (100537).

It can be written as a sum of positive squares in 2 ways, for example, as 88209 + 12321 = 297^2 + 111^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100530.

It is not an unprimeable number, because it can be changed into a prime (100537) by changing a digit.

100530 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469 + ... + 648.

2100530 is an apocalyptic number.

100530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100530 is an abundant number, since it is smaller than the sum of its proper divisors (161082).

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

100530 is a wasteful number, since it uses less digits than its factorization.

100530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 100530 is about 317.0646621748. The cubic root of 100530 is about 46.4977452948.

Adding to 100530 its reverse (35001), we get a palindrome (135531).

It can be divided in two parts, 1005 and 30, that added together give a triangular number (1035 = T45).

The spelling of 100530 in words is "one hundred thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1117 2234 3351 5585 6702 10053 11170 16755 20106 33510 50265 100530