Search a number
-
+
210134016 = 210321512
BaseRepresentation
bin11001000011001…
…10010000000000
3112122101220200100
430201212100000
5412243242031
632503522400
75131052421
oct1441462000
9478356610
10210134016
11a8684884
125a459400
13346c4b71
141dc9d648
15136abde6
hexc866400

210134016 has 99 divisors (see below), whose sum is σ = 610802283. Its totient is φ = 69580800.

The previous prime is 210133999. The next prime is 210134017. The reversal of 210134016 is 610431012.

It is a happy number.

The square root of 210134016 is 14496.

It is a perfect power (a square), and thus also a powerful number.

210134016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 210134016.

It is not an unprimeable number, because it can be changed into a prime (210134017) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1391541 + ... + 1391691.

Almost surely, 2210134016 is an apocalyptic number.

210134016 is the 14496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210134016

210134016 is an abundant number, since it is smaller than the sum of its proper divisors (400668267).

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

210134016 is an equidigital number, since it uses as much as digits as its factorization.

210134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 156 counting only the distinct ones).

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

The cubic root of 210134016 is about 594.5186097609.

Multiplying 210134016 by its product of nonzero digits (144), we get a square (30259298304 = 1739522).

210134016 divided by its product of nonzero digits (144) gives a square (1459264 = 12082).

Adding to 210134016 its reverse (610431012), we get a palindrome (820565028).

The spelling of 210134016 in words is "two hundred ten million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 256 288 302 384 453 512 576 604 768 906 1024 1152 1208 1359 1536 1812 2304 2416 2718 3072 3624 4608 4832 5436 7248 9216 9664 10872 14496 19328 21744 22801 28992 38656 43488 45602 57984 68403 77312 86976 91204 115968 136806 154624 173952 182408 205209 231936 273612 347904 364816 410418 463872 547224 695808 729632 820836 1094448 1391616 1459264 1641672 2188896 2918528 3283344 4377792 5837056 6566688 8755584 11674112 13133376 17511168 23348224 26266752 35022336 52533504 70044672 105067008 210134016