Search a number
-
+
16381696 = 2889719
BaseRepresentation
bin111110011111…
…011100000000
31010211021110111
4332133130000
513143203241
61343041104
7256146022
oct76373400
933737414
1016381696
1192798a1
1255a0194
133517516
142266012
151688c81
hexf9f700

16381696 has 36 divisors (see below), whose sum is σ = 33112800. Its totient is φ = 8087552.

The previous prime is 16381691. The next prime is 16381699. The reversal of 16381696 is 69618361.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16381691) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 22425 + ... + 23143.

It is an arithmetic number, because the mean of its divisors is an integer number (919800).

Almost surely, 216381696 is an apocalyptic number.

16381696 is a gapful number since it is divisible by the number (16) 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 16381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556400).

16381696 is an abundant number, since it is smaller than the sum of its proper divisors (16731104).

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

16381696 is an frugal number, since it uses more digits than its factorization.

16381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 810 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The square root of 16381696 is about 4047.4307900198. The cubic root of 16381696 is about 253.9722622489.

The spelling of 16381696 in words is "sixteen million, three hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 719 1424 1438 2848 2876 5696 5752 11392 11504 22784 23008 46016 63991 92032 127982 184064 255964 511928 1023856 2047712 4095424 8190848 16381696