Search a number
-
+
171087345 = 325112132417
BaseRepresentation
bin10100011001010…
…01010111110001
3102220221010201100
422030221113301
5322244243340
624550555013
74145134632
oct1214512761
9386833640
10171087345
1188635500
1249368a69
13295a3220
1418a17889
1510047830
hexa3295f1

171087345 has 72 divisors (see below), whose sum is σ = 351180648. Its totient is φ = 76538880.

The previous prime is 171087341. The next prime is 171087353. The reversal of 171087345 is 543780171.

171087345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30735936 + 140351409 = 5544^2 + 11847^2 .

It is not a de Polignac number, because 171087345 - 22 = 171087341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (171087341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69577 + ... + 71993.

It is an arithmetic number, because the mean of its divisors is an integer number (4877509).

Almost surely, 2171087345 is an apocalyptic number.

171087345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

171087345 is an abundant number, since it is smaller than the sum of its proper divisors (180093303).

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

171087345 is a wasteful number, since it uses less digits than its factorization.

171087345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2463 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 171087345 is about 13080.0361238033. The cubic root of 171087345 is about 555.1443987556.

The spelling of 171087345 in words is "one hundred seventy-one million, eighty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 121 143 165 195 363 429 495 585 605 715 1089 1287 1573 1815 2145 2417 4719 5445 6435 7251 7865 12085 14157 21753 23595 26587 31421 36255 70785 79761 94263 108765 132935 157105 239283 282789 292457 345631 398805 471315 877371 1036893 1196415 1413945 1462285 1728155 2632113 3110679 3801941 4386855 5184465 11405823 13160565 15553395 19009705 34217469 57029115 171087345