Search a number
-
+
1214496 = 25324217
BaseRepresentation
bin100101000100000100000
32021200222100
410220200200
5302330441
642010400
713215543
oct4504040
92250870
101214496
1175a518
124a6a00
13336a4a
1423885a
1518ecb6
hex128820

1214496 has 36 divisors (see below), whose sum is σ = 3454542. Its totient is φ = 404736.

The previous prime is 1214489. The next prime is 1214519. The reversal of 1214496 is 6944121.

It can be written as a sum of positive squares in only one way, i.e., 810000 + 404496 = 900^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1821 + ... + 2396.

21214496 is an apocalyptic number.

1214496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1214496 is an abundant number, since it is smaller than the sum of its proper divisors (2240046).

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

1214496 is a wasteful number, since it uses less digits than its factorization.

1214496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4222 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1214496 is about 1102.0417414962. The cubic root of 1214496 is about 106.6920425737.

The spelling of 1214496 in words is "one million, two hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4217 8434 12651 16868 25302 33736 37953 50604 67472 75906 101208 134944 151812 202416 303624 404832 607248 1214496