Search a number
-
+
16982641 = 1323172
BaseRepresentation
bin100000011001…
…0001001110001
31011221210210201
41000302021301
513321421031
61403555201
7264231034
oct100621161
934853721
1016982641
11964a345
12582bb01
133697c00
14238101b
151756d61
hex1032271

16982641 has 9 divisors (see below), whose sum is σ = 18447681. Its totient is φ = 15626832.

The previous prime is 16982639. The next prime is 16982681. The reversal of 16982641 is 14628961.

It is a happy number.

The square root of 16982641 is 4121.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11029041 + 5953600 = 3321^2 + 2440^2 .

It is not a de Polignac number, because 16982641 - 21 = 16982639 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16982641.

It is not an unprimeable number, because it can be changed into a prime (16982621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53415 + ... + 53731.

Almost surely, 216982641 is an apocalyptic number.

16982641 is the 4121-st square number.

16982641 is the 2061-st centered octagonal number.

It is an amenable number.

16982641 is a deficient number, since it is larger than the sum of its proper divisors (1465040).

16982641 is an frugal number, since it uses more digits than its factorization.

16982641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 330 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The cubic root of 16982641 is about 257.0406098928.

Multiplying 16982641 by its product of digits (20736), we get a square (352152043776 = 5934242).

The spelling of 16982641 in words is "sixteen million, nine hundred eighty-two thousand, six hundred forty-one".

Divisors: 1 13 169 317 4121 53573 100489 1306357 16982641