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100352 = 21172
BaseRepresentation
bin11000100000000000
312002122202
4120200000
511202402
62052332
7565400
oct304000
9162582
10100352
116943a
124a0a8
13368a5
1428800
151eb02
hex18800

100352 has 36 divisors (see below), whose sum is σ = 233415. Its totient is φ = 43008.

The previous prime is 100343. The next prime is 100357. The reversal of 100352 is 253001.

Adding to 100352 its reverse (253001), we get a palindrome (353353).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 50176 = 224^2 + 224^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=224.

It is not an unprimeable number, because it can be changed into a prime (100357) by changing a digit.

100352 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 (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14333 + ... + 14339.

2100352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100352

100352 is an abundant number, since it is smaller than the sum of its proper divisors (133063).

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

100352 is an frugal number, since it uses more digits than its factorization.

100352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 100352 is about 316.7838379716. The cubic root of 100352 is about 46.4702858685.

The spelling of 100352 in words is "one hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 6272 7168 12544 14336 25088 50176 100352