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1226420 = 225135389
BaseRepresentation
bin100101011011010110100
32022022022222
410223122310
5303221140
642141512
713265366
oct4533264
92268288
101226420
11768478
124b1898
1333c2c0
1423cd36
151935b5
hex12b6b4

1226420 has 48 divisors (see below), whose sum is σ = 2857680. Its totient is φ = 439296.

The previous prime is 1226417. The next prime is 1226461. The reversal of 1226420 is 246221.

It can be written as a sum of positive squares in 8 ways, for example, as 119716 + 1106704 = 346^2 + 1052^2 .

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 15 ways as a sum of consecutive naturals, for example, 13736 + ... + 13824.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

21226420 is an apocalyptic number.

1226420 is a gapful number since it is divisible by the number (10) 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 1226420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428840).

1226420 is an abundant number, since it is smaller than the sum of its proper divisors (1631260).

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

1226420 is a wasteful number, since it uses less digits than its factorization.

1226420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1226420 is about 1107.4384858763. The cubic root of 1226420 is about 107.0400758257.

The spelling of 1226420 in words is "one million, two hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 89 106 130 178 212 260 265 356 445 530 689 890 1060 1157 1378 1780 2314 2756 3445 4628 4717 5785 6890 9434 11570 13780 18868 23140 23585 47170 61321 94340 122642 245284 306605 613210 1226420