[go: up one dir, main page]

Search a number
-
+
16771328 = 2873191
BaseRepresentation
bin111111111110…
…100100000000
31011120001221022
4333332210000
513243140303
61355245012
7262361000
oct77764400
934501838
1016771328
119515602
125749768
133622982
142328000
151714438
hexffe900

16771328 has 72 divisors (see below), whose sum is σ = 39244800. Its totient is φ = 7150080.

The previous prime is 16771303. The next prime is 16771331. The reversal of 16771328 is 82317761.

It is a nialpdrome in base 4, base 8 and base 16.

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 7 ways as a sum of consecutive naturals, for example, 87713 + ... + 87903.

Almost surely, 216771328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19622400).

16771328 is an abundant number, since it is smaller than the sum of its proper divisors (22473472).

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

16771328 is an frugal number, since it uses more digits than its factorization.

16771328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 200 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 16771328 is about 4095.2811869272. The cubic root of 16771328 is about 255.9700485792.

It can be divided in two parts, 167713 and 28, that multiplied together give a palindrome (4695964).

The spelling of 16771328 in words is "sixteen million, seven hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 191 196 224 256 343 382 392 448 686 764 784 896 1337 1372 1528 1568 1792 2674 2744 3056 3136 5348 5488 6112 6272 9359 10696 10976 12224 12544 18718 21392 21952 24448 37436 42784 43904 48896 65513 74872 85568 87808 131026 149744 171136 262052 299488 342272 524104 598976 1048208 1197952 2096416 2395904 4192832 8385664 16771328