Search a number
-
+
16390458 = 2337131331
BaseRepresentation
bin111110100001…
…100100111010
31010211201111000
4332201210322
513143443313
61343145430
7256213410
oct76414472
933751430
1016390458
119285437
1255a5276
13351b4c6
1422692b0
15168b673
hexfa193a

16390458 has 64 divisors (see below), whose sum is σ = 42071040. Its totient is φ = 4633200.

The previous prime is 16390457. The next prime is 16390459. The reversal of 16390458 is 85409361.

It is an interprime number because it is at equal distance from previous prime (16390457) and next prime (16390459).

It is a super-2 number, since 2×163904582 = 537294226899528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16390453) 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 31 ways as a sum of consecutive naturals, for example, 49353 + ... + 49683.

It is an arithmetic number, because the mean of its divisors is an integer number (657360).

Almost surely, 216390458 is an apocalyptic number.

16390458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16390458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21035520).

16390458 is an abundant number, since it is smaller than the sum of its proper divisors (25680582).

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

16390458 is a wasteful number, since it uses less digits than its factorization.

16390458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 16390458 is about 4048.5130603717. The cubic root of 16390458 is about 254.0175344912.

The spelling of 16390458 in words is "sixteen million, three hundred ninety thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 131 189 262 331 378 393 662 786 917 993 1179 1834 1986 2317 2358 2751 2979 3537 4634 5502 5958 6951 7074 8253 8937 13902 16506 17874 20853 24759 41706 43361 49518 62559 86722 125118 130083 260166 303527 390249 607054 780498 910581 1170747 1821162 2341494 2731743 5463486 8195229 16390458