Search a number
-
+
101448 = 23321409
BaseRepresentation
bin11000110001001000
312011011100
4120301020
511221243
62101400
7601524
oct306110
9164140
10101448
116a246
124a860
1337239
1428d84
15200d3
hex18c48

101448 has 24 divisors (see below), whose sum is σ = 274950. Its totient is φ = 33792.

The previous prime is 101429. The next prime is 101449. The reversal of 101448 is 844101.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 324 = 318^2 + 18^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 101448.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101448.

It is not an unprimeable number, because it can be changed into a prime (101449) by changing a digit.

101448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 633 + ... + 776.

2101448 is an apocalyptic number.

101448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101448 is an abundant number, since it is smaller than the sum of its proper divisors (173502).

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

101448 is a wasteful number, since it uses less digits than its factorization.

101448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 101448 is about 318.5090265597. The cubic root of 101448 is about 46.6388496353.

Adding to 101448 its reverse (844101), we get a palindrome (945549).

The spelling of 101448 in words is "one hundred one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1409 2818 4227 5636 8454 11272 12681 16908 25362 33816 50724 101448