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1226320 = 24515329
BaseRepresentation
bin100101011011001010000
32022022012021
410223121100
5303220240
642141224
713265164
oct4533120
92268167
101226320
11768397
124b1814
1333c244
1423cca4
1519354a
hex12b650

1226320 has 20 divisors (see below), whose sum is σ = 2851380. Its totient is φ = 490496.

The previous prime is 1226311. The next prime is 1226321. The reversal of 1226320 is 236221.

It can be written as a sum of positive squares in 2 ways, for example, as 258064 + 968256 = 508^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1226294 and 1226303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1226321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7585 + ... + 7744.

It is an arithmetic number, because the mean of its divisors is an integer number (142569).

21226320 is an apocalyptic number.

1226320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1226320 is an abundant number, since it is smaller than the sum of its proper divisors (1625060).

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

1226320 is a wasteful number, since it uses less digits than its factorization.

1226320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15342 (or 15336 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1226320 is about 1107.3933357213. The cubic root of 1226320 is about 107.0371664639.

Subtracting from 1226320 its reverse (236221), we obtain a palindrome (990099).

The spelling of 1226320 in words is "one million, two hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 15329 30658 61316 76645 122632 153290 245264 306580 613160 1226320