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146016 = 2533132
BaseRepresentation
bin100011101001100000
321102022000
4203221200
514133031
63044000
71145463
oct435140
9242260
10146016
119a782
1270600
1351600
143b2da
152d3e6
hex23a60

146016 has 72 divisors (see below), whose sum is σ = 461160. Its totient is φ = 44928.

The previous prime is 146011. The next prime is 146021. The reversal of 146016 is 610641.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (146011) and next prime (146021).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 146016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146011) by changing a digit.

146016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11226 + ... + 11238.

It is an arithmetic number, because the mean of its divisors is an integer number (6405).

2146016 is an apocalyptic number.

146016 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 146016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230580).

146016 is an abundant number, since it is smaller than the sum of its proper divisors (315144).

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

146016 is a wasteful number, since it uses less digits than its factorization.

146016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 18 counting only the distinct ones).

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

The square root of 146016 is about 382.1203998742. The cubic root of 146016 is about 52.6582977320.

Adding to 146016 its reverse (610641), we get a palindrome (756657).

The spelling of 146016 in words is "one hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 169 208 216 234 288 312 338 351 416 432 468 507 624 676 702 864 936 1014 1248 1352 1404 1521 1872 2028 2704 2808 3042 3744 4056 4563 5408 5616 6084 8112 9126 11232 12168 16224 18252 24336 36504 48672 73008 146016