Search a number
-
+
16146000 = 2433531323
BaseRepresentation
bin111101100101…
…111001010000
31010101022011000
4331211321100
513113133000
61334022000
7254144613
oct75457120
933338130
1016146000
119128802
1254a7900
133464160
14220417a
15163e000
hexf65e50

16146000 has 320 divisors, whose sum is σ = 64995840. Its totient is φ = 3801600.

The previous prime is 16145993. The next prime is 16146001. The reversal of 16146000 is 64161.

16146000 is a `hidden beast` number, since 1 + 61 + 4 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16146001) 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 63 ways as a sum of consecutive naturals, for example, 701989 + ... + 702011.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 216146000 is an apocalyptic number.

16146000 is a gapful number since it is divisible by the number (10) 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 16146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32497920).

16146000 is an abundant number, since it is smaller than the sum of its proper divisors (48849840).

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

16146000 is a wasteful number, since it uses less digits than its factorization.

16146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 16146000 is about 4018.2085560608. The cubic root of 16146000 is about 252.7483424065.

The spelling of 16146000 in words is "sixteen million, one hundred forty-six thousand".