Search a number
-
+
1226456 = 237112181
BaseRepresentation
bin100101011011011011000
32022022101022
410223123120
5303221311
642142012
713265450
oct4533330
92268338
101226456
11768500
124b1908
1333c31a
1423cd60
151935db
hex12b6d8

1226456 has 48 divisors (see below), whose sum is σ = 2904720. Its totient is φ = 475200.

The previous prime is 1226417. The next prime is 1226461. The reversal of 1226456 is 6546221.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6686 + ... + 6866.

It is an arithmetic number, because the mean of its divisors is an integer number (60515).

21226456 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 1226456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452360).

1226456 is an abundant number, since it is smaller than the sum of its proper divisors (1678264).

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

1226456 is a wasteful number, since it uses less digits than its factorization.

1226456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its digits is 2880, while the sum is 26.

The square root of 1226456 is about 1107.4547394815. The cubic root of 1226456 is about 107.0411231573.

The spelling of 1226456 in words is "one million, two hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 181 242 308 362 484 616 724 847 968 1267 1448 1694 1991 2534 3388 3982 5068 6776 7964 10136 13937 15928 21901 27874 43802 55748 87604 111496 153307 175208 306614 613228 1226456