Search a number
-
+
210404012 = 227134211373
BaseRepresentation
bin11001000101010…
…00001010101100
3112122220122001012
430202220022230
5412330412022
632513404352
75133255530
oct1442501254
9478818035
10210404012
11a8849715
125a5696b8
133478aa20
141dd2dbc0
1513711de2
hexc8a82ac

210404012 has 48 divisors (see below), whose sum is σ = 454585152. Its totient is φ = 82978560.

The previous prime is 210404009. The next prime is 210404017.

210404012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2104040122 = 88539696531392288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (210404017) 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 15 ways as a sum of consecutive naturals, for example, 152558 + ... + 153930.

It is an arithmetic number, because the mean of its divisors is an integer number (9470524).

Almost surely, 2210404012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210404012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227292576).

210404012 is an abundant number, since it is smaller than the sum of its proper divisors (244181140).

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

210404012 is a wasteful number, since it uses less digits than its factorization.

210404012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 210404012 is about 14505.3097864196. The cubic root of 210404012 is about 594.7731282031.

It can be divided in two parts, 21040 and 4012, that added together give a palindrome (25052).

The spelling of 210404012 in words is "two hundred ten million, four hundred four thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 421 842 1373 1684 2746 2947 5473 5492 5894 9611 10946 11788 17849 19222 21892 35698 38311 38444 71396 76622 124943 153244 249886 499772 578033 1156066 2312132 4046231 7514429 8092462 15028858 16184924 30057716 52601003 105202006 210404012