Search a number
-
+
16682280 = 2335435361
BaseRepresentation
bin111111101000…
…110100101000
31011101112210020
4333220310220
513232313110
61353320440
7261540246
oct77506450
934345706
1016682280
11946470a
125706120
1335c1294
142303796
1516e7d70
hexfe8d28

16682280 has 128 divisors (see below), whose sum is σ = 53032320. Its totient is φ = 4193280.

The previous prime is 16682269. The next prime is 16682297. The reversal of 16682280 is 8228661.

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 31 ways as a sum of consecutive naturals, for example, 273450 + ... + 273510.

It is an arithmetic number, because the mean of its divisors is an integer number (414315).

Almost surely, 216682280 is an apocalyptic number.

16682280 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 16682280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160).

16682280 is an abundant number, since it is smaller than the sum of its proper divisors (36350040).

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

16682280 is a wasteful number, since it uses less digits than its factorization.

16682280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 16682280 is about 4084.3946919954. The cubic root of 16682280 is about 255.5162168671.

The spelling of 16682280 in words is "sixteen million, six hundred eighty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 53 60 61 86 106 120 122 129 159 172 183 212 215 244 258 265 305 318 344 366 424 430 488 516 530 610 636 645 732 795 860 915 1032 1060 1220 1272 1290 1464 1590 1720 1830 2120 2279 2440 2580 2623 3180 3233 3660 4558 5160 5246 6360 6466 6837 7320 7869 9116 9699 10492 11395 12932 13115 13674 15738 16165 18232 19398 20984 22790 25864 26230 27348 31476 32330 34185 38796 39345 45580 48495 52460 54696 62952 64660 68370 77592 78690 91160 96990 104920 129320 136740 139019 157380 193980 273480 278038 314760 387960 417057 556076 695095 834114 1112152 1390190 1668228 2085285 2780380 3336456 4170570 5560760 8341140 16682280