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1382420 = 225132409
BaseRepresentation
bin101010001100000010100
32121020022202
411101200110
5323214140
645344032
714515244
oct5214024
92536282
101382420
118646a6
12568018
13395300
1427db24
151c4915
hex151814

1382420 has 36 divisors (see below), whose sum is σ = 3151260. Its totient is φ = 509184.

The previous prime is 1382419. The next prime is 1382449. The reversal of 1382420 is 242831.

It can be written as a sum of positive squares in 6 ways, for example, as 64516 + 1317904 = 254^2 + 1148^2 .

It is a super-2 number, since 2×13824202 = 3822170112800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1382392 and 1382401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3176 + ... + 3584.

It is an arithmetic number, because the mean of its divisors is an integer number (87535).

21382420 is an apocalyptic number.

1382420 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 1382420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575630).

1382420 is an abundant number, since it is smaller than the sum of its proper divisors (1768840).

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

1382420 is a wasteful number, since it uses less digits than its factorization.

1382420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1382420 is about 1175.7635816779. The cubic root of 1382420 is about 111.3986692250.

The spelling of 1382420 in words is "one million, three hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 409 676 818 845 1636 1690 2045 3380 4090 5317 8180 10634 21268 26585 53170 69121 106340 138242 276484 345605 691210 1382420