Search a number
-
+
16975140 = 22357133109
BaseRepresentation
bin100000011000…
…0010100100100
31011221102111220
41000300110210
513321201030
61403500340
7264200130
oct100602444
934842456
1016975140
119644746
1258276b0
133694680
14237c3c0
151754a10
hex1030524

16975140 has 96 divisors (see below), whose sum is σ = 58517760. Its totient is φ = 3580416.

The previous prime is 16975139. The next prime is 16975157. The reversal of 16975140 is 4157961.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3906 + ... + 7014.

It is an arithmetic number, because the mean of its divisors is an integer number (609560).

Almost surely, 216975140 is an apocalyptic number.

16975140 is a gapful number since it is divisible by the number (10) 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 16975140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29258880).

16975140 is an abundant number, since it is smaller than the sum of its proper divisors (41542620).

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

16975140 is a wasteful number, since it uses less digits than its factorization.

16975140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 16975140 is about 4120.0898048465. The cubic root of 16975140 is about 257.0027605471.

The spelling of 16975140 in words is "sixteen million, nine hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 3109 5460 6218 9327 12436 15545 18654 21763 31090 37308 40417 43526 46635 62180 65289 80834 87052 93270 108815 121251 130578 161668 186540 202085 217630 242502 261156 282919 326445 404170 435260 485004 565838 606255 652890 808340 848757 1131676 1212510 1305780 1414595 1697514 2425020 2829190 3395028 4243785 5658380 8487570 16975140