Search a number
-
+
171441424 = 24711373761
BaseRepresentation
bin10100011011111…
…11110100010000
3102221121010102101
422031333310100
5322342111144
625002330144
74151141140
oct1215776420
9387533371
10171441424
1188857530
12494b9954
132969843b
1418aaa920
15100b76d4
hexa37fd10

171441424 has 80 divisors (see below), whose sum is σ = 425437056. Its totient is φ = 64972800.

The previous prime is 171441421. The next prime is 171441437. The reversal of 171441424 is 424144171.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 171441392 and 171441401.

It is not an unprimeable number, because it can be changed into a prime (171441421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43704 + ... + 47464.

Almost surely, 2171441424 is an apocalyptic number.

171441424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212718528).

171441424 is an abundant number, since it is smaller than the sum of its proper divisors (253995632).

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

171441424 is a wasteful number, since it uses less digits than its factorization.

171441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3818 counting only the distinct ones).

The product of its digits is 3584, while the sum is 28.

The square root of 171441424 is about 13093.5642206391. The cubic root of 171441424 is about 555.5271068336.

Adding to 171441424 its reverse (424144171), we get a palindrome (595585595).

It can be divided in two parts, 17 and 1441424, that added together give a palindrome (1441441).

The spelling of 171441424 in words is "one hundred seventy-one million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 37 44 56 74 77 88 112 148 154 176 259 296 308 407 518 592 616 814 1036 1232 1628 2072 2849 3256 3761 4144 5698 6512 7522 11396 15044 22792 26327 30088 41371 45584 52654 60176 82742 105308 139157 165484 210616 278314 289597 330968 421232 556628 579194 661936 974099 1113256 1158388 1530727 1948198 2226512 2316776 3061454 3896396 4633552 6122908 7792792 10715089 12245816 15585584 21430178 24491632 42860356 85720712 171441424