Search a number
-
+
16073892 = 2232521857
BaseRepresentation
bin111101010100…
…010010100100
31010020122020100
4331110102210
513103331032
61332304100
7253424442
oct75242244
933218210
1016073892
11908960a
125472030
13343a3a3
1421c5b92
15162797c
hexf544a4

16073892 has 36 divisors (see below), whose sum is σ = 40756716. Its totient is φ = 5341440.

The previous prime is 16073887. The next prime is 16073899. The reversal of 16073892 is 29837061.

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 5731236 = 3216^2 + 2394^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16073899) 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, 18328 + ... + 19184.

It is an arithmetic number, because the mean of its divisors is an integer number (1132131).

Almost surely, 216073892 is an apocalyptic number.

16073892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16073892 is an abundant number, since it is smaller than the sum of its proper divisors (24682824).

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

16073892 is a wasteful number, since it uses less digits than its factorization.

16073892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 16073892 is about 4009.2258604374. The cubic root of 16073892 is about 252.3715230459.

The spelling of 16073892 in words is "sixteen million, seventy-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 521 857 1042 1563 1714 2084 2571 3126 3428 4689 5142 6252 7713 9378 10284 15426 18756 30852 446497 892994 1339491 1785988 2678982 4018473 5357964 8036946 16073892