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1114212 = 2231123367
BaseRepresentation
bin100010000000001100100
32002121102010
410100001210
5241123322
635514220
712320301
oct4200144
92077363
101114212
116a1140
12458970
133001c8
142100a8
1517020c
hex110064

1114212 has 48 divisors (see below), whose sum is σ = 2967552. Its totient is φ = 322080.

The previous prime is 1114207. The next prime is 1114213. The reversal of 1114212 is 2124111.

1114212 = 2092 + 2102 + ... + 2312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1114213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2853 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (61824).

21114212 is an apocalyptic number.

1114212 is a gapful number since it is divisible by the number (12) 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 1114212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483776).

1114212 is an abundant number, since it is smaller than the sum of its proper divisors (1853340).

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

1114212 is a wasteful number, since it uses less digits than its factorization.

1114212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its digits is 16, while the sum is 12.

The square root of 1114212 is about 1055.5624093345. The cubic root of 1114212 is about 103.6706791985.

Adding to 1114212 its reverse (2124111), we get a palindrome (3238323).

It can be divided in two parts, 1114 and 212, that added together give a triangular number (1326 = T51).

The spelling of 1114212 in words is "one million, one hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 367 506 734 759 1012 1101 1468 1518 2202 3036 4037 4404 8074 8441 12111 16148 16882 24222 25323 33764 48444 50646 92851 101292 185702 278553 371404 557106 1114212