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98172 = 2235101
BaseRepresentation
bin10111111101111100
311222200000
4113331330
511120142
62034300
7556134
oct277574
9158600
1098172
1167838
1248990
13358b9
1427ac4
151e14c
hex17f7c

98172 has 36 divisors (see below), whose sum is σ = 259896. Its totient is φ = 32400.

The previous prime is 98143. The next prime is 98179. The reversal of 98172 is 27189.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922 + ... + 1022.

298172 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 98172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129948).

98172 is an abundant number, since it is smaller than the sum of its proper divisors (161724).

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

98172 is a wasteful number, since it uses less digits than its factorization.

98172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 106 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 98172 is about 313.3241133395. The cubic root of 98172 is about 46.1313197765.

The spelling of 98172 in words is "ninety-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 243 303 324 404 486 606 909 972 1212 1818 2727 3636 5454 8181 10908 16362 24543 32724 49086 98172