Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
100128 = 2537149
BaseRepresentation
bin11000011100100000
312002100110
4120130200
511201003
62051320
7564630
oct303440
9162313
10100128
1169256
1249b40
1336762
14286c0
151ea03
hex18720

100128 has 48 divisors (see below), whose sum is σ = 302400. Its totient is φ = 28416.

The previous prime is 100109. The next prime is 100129. The reversal of 100128 is 821001.

It is a happy number.

100128 is a nontrivial binomial coefficient, being equal to C(448, 2).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (100129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598 + ... + 746.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2100128 is an apocalyptic number.

100128 is the 447-th triangular number and also the 224-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151200).

100128 is an abundant number, since it is smaller than the sum of its proper divisors (202272).

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

100128 is a wasteful number, since it uses less digits than its factorization.

100128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 100128 is about 316.4300870651. The cubic root of 100128 is about 46.4356840047.

Adding to 100128 its reverse (821001), we get a palindrome (921129).

The spelling of 100128 in words is "one hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 149 168 224 298 336 447 596 672 894 1043 1192 1788 2086 2384 3129 3576 4172 4768 6258 7152 8344 12516 14304 16688 25032 33376 50064 100128