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107448 = 23311237
BaseRepresentation
bin11010001110111000
312110101120
4122032320
511414243
62145240
7625155
oct321670
9173346
10107448
1173800
1252220
1339ba3
142b22c
1521c83
hex1a3b8

107448 has 48 divisors (see below), whose sum is σ = 303240. Its totient is φ = 31680.

The previous prime is 107441. The next prime is 107449. The reversal of 107448 is 844701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107441) by changing a digit.

107448 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 11 ways as a sum of consecutive naturals, for example, 2886 + ... + 2922.

2107448 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 107448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151620).

107448 is an abundant number, since it is smaller than the sum of its proper divisors (195792).

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

107448 is a wasteful number, since it uses less digits than its factorization.

107448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 107448 is about 327.7926173665. The cubic root of 107448 is about 47.5407591056.

Multiplying 107448 by its sum of digits (24), we get a palindrome (2578752).

It can be divided in two parts, 107 and 448, that added together give a palindrome (555).

The spelling of 107448 in words is "one hundred seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 726 814 888 968 1221 1452 1628 2442 2904 3256 4477 4884 8954 9768 13431 17908 26862 35816 53724 107448