Search a number
-
+
173080336 = 24112132232
BaseRepresentation
bin10100101000011…
…11111100010000
3110001200101120211
422110033330100
5323302032321
625101413504
74201105252
oct1224177420
9401611524
10173080336
1189776900
1249b6a294
1329b20400
1418db5cd2
15102dd0e1
hexa50ff10

173080336 has 135 divisors (see below), whose sum is σ = 417243477. Its totient is φ = 69463680.

The previous prime is 173080319. The next prime is 173080343. The reversal of 173080336 is 633080371.

The square root of 173080336 is 13156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25603600 + 147476736 = 5060^2 + 12144^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 173080298 and 173080307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7525221 + ... + 7525243.

Almost surely, 2173080336 is an apocalyptic number.

173080336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

173080336 is the 13156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173080336

173080336 is an abundant number, since it is smaller than the sum of its proper divisors (244163141).

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

173080336 is a wasteful number, since it uses less digits than its factorization.

173080336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The cubic root of 173080336 is about 557.2917020304.

The spelling of 173080336 in words is "one hundred seventy-three million, eighty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 23 26 44 46 52 88 92 104 121 143 169 176 184 208 242 253 286 299 338 368 484 506 529 572 598 676 968 1012 1058 1144 1196 1352 1573 1859 1936 2024 2116 2288 2392 2704 2783 3146 3289 3718 3887 4048 4232 4784 5566 5819 6292 6578 6877 7436 7774 8464 11132 11638 12584 13156 13754 14872 15548 20449 22264 23276 25168 26312 27508 29744 31096 36179 40898 42757 44528 46552 52624 55016 62192 64009 72358 75647 81796 85514 89401 93104 110032 128018 144716 151294 163592 171028 178802 256036 289432 302588 327184 342056 357604 470327 512072 578864 605176 684112 715208 832117 940654 983411 1024144 1210352 1430416 1664234 1881308 1966822 3328468 3762616 3933644 6656936 7525232 7867288 10817521 13313872 15734576 21635042 43270084 86540168 173080336