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100232 = 23111767
BaseRepresentation
bin11000011110001000
312002111022
4120132020
511201412
62052012
7565136
oct303610
9162438
10100232
1169340
124a008
1336812
1428756
151ea72
hex18788

100232 has 32 divisors (see below), whose sum is σ = 220320. Its totient is φ = 42240.

The previous prime is 100213. The next prime is 100237. The reversal of 100232 is 232001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (100237) by changing a digit.

100232 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 7 ways as a sum of consecutive naturals, for example, 1463 + ... + 1529.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

2100232 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 100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110160).

100232 is an abundant number, since it is smaller than the sum of its proper divisors (120088).

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

100232 is a wasteful number, since it uses less digits than its factorization.

100232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 100232 is about 316.5943777138. The cubic root of 100232 is about 46.4517555667.

Adding to 100232 its reverse (232001), we get a palindrome (332233).

Subtracting 100232 from its reverse (232001), we obtain a square (131769 = 3632).

The spelling of 100232 in words is "one hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 67 68 88 134 136 187 268 374 536 737 748 1139 1474 1496 2278 2948 4556 5896 9112 12529 25058 50116 100232