[go: up one dir, main page]

Search a number
-
+
17140320 = 2532511903
BaseRepresentation
bin100000101100…
…0101001100000
31012020211002200
41001120221200
513341442240
61411213200
7265455531
oct101305140
935224080
1017140320
11974785a
1258a7200
133721902
1423c2688
151788930
hex1058a60

17140320 has 72 divisors (see below), whose sum is σ = 58496256. Its totient is φ = 4570368.

The previous prime is 17140309. The next prime is 17140339. The reversal of 17140320 is 2304171.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 17140293 and 17140302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4512 + ... + 7391.

It is an arithmetic number, because the mean of its divisors is an integer number (812448).

Almost surely, 217140320 is an apocalyptic number.

17140320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17140320 is an abundant number, since it is smaller than the sum of its proper divisors (41355936).

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

17140320 is a wasteful number, since it uses less digits than its factorization.

17140320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11924 (or 11913 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 17140320 is about 4140.0869556085. The cubic root of 17140320 is about 257.8336768280.

Adding to 17140320 its reverse (2304171), we get a palindrome (19444491).

The spelling of 17140320 in words is "seventeen million, one hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 11903 23806 35709 47612 59515 71418 95224 107127 119030 142836 178545 190448 214254 238060 285672 357090 380896 428508 476120 535635 571344 714180 857016 952240 1071270 1142688 1428360 1714032 1904480 2142540 2856720 3428064 4285080 5713440 8570160 17140320