Search a number
-
+
16490656 = 257213809
BaseRepresentation
bin111110111010…
…000010100000
31011000210221001
4332322002200
513210200111
61345241344
7260111500
oct76720240
934023831
1016490656
119343746
125633254
133554cb0
142293a00
1516ab1c1
hexfba0a0

16490656 has 72 divisors (see below), whose sum is σ = 40721940. Its totient is φ = 6515712.

The previous prime is 16490653. The next prime is 16490659. The reversal of 16490656 is 65609461.

It is an interprime number because it is at equal distance from previous prime (16490653) and next prime (16490659).

It can be written as a sum of positive squares in 2 ways, for example, as 16483600 + 7056 = 4060^2 + 84^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16490653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19980 + ... + 20788.

Almost surely, 216490656 is an apocalyptic number.

16490656 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 16490656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20360970).

16490656 is an abundant number, since it is smaller than the sum of its proper divisors (24231284).

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

16490656 is a wasteful number, since it uses less digits than its factorization.

16490656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 16490656 is about 4060.8688725444. The cubic root of 16490656 is about 254.5341025240.

The spelling of 16490656 in words is "sixteen million, four hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 809 1274 1456 1568 1618 2548 2912 3236 5096 5663 6472 10192 10517 11326 12944 20384 21034 22652 25888 39641 42068 45304 73619 79282 84136 90608 147238 158564 168272 181216 294476 317128 336544 515333 588952 634256 1030666 1177904 1268512 2061332 2355808 4122664 8245328 16490656