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1364220 = 22325111353
BaseRepresentation
bin101001101000011111100
32120022100200
411031003330
5322123340
645123500
714411214
oct5150374
92508320
101364220
11851a60
12559590
13389c40
14277244
151be330
hex14d0fc

1364220 has 144 divisors (see below), whose sum is σ = 4953312. Its totient is φ = 299520.

The previous prime is 1364213. The next prime is 1364221. The reversal of 1364220 is 224631.

It is a happy number.

1364220 is a `hidden beast` number, since 1 + 3 + 642 + 20 = 666.

It is a super-2 number, since 2×13642202 = 3722192416800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1364193 and 1364202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364221) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 25714 + ... + 25766.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

21364220 is an apocalyptic number.

1364220 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 1364220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656).

1364220 is an abundant number, since it is smaller than the sum of its proper divisors (3589092).

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

1364220 is a wasteful number, since it uses less digits than its factorization.

1364220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1364220 is about 1167.9982876700. The cubic root of 1364220 is about 110.9076417033.

Adding to 1364220 its reverse (224631), we get a palindrome (1588851).

It can be divided in two parts, 136 and 4220, that added together give a square (4356 = 662).

The spelling of 1364220 in words is "one million, three hundred sixty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 53 55 60 65 66 78 90 99 106 110 117 130 132 143 156 159 165 180 195 198 212 220 234 260 265 286 318 330 390 396 429 468 477 495 530 572 583 585 636 660 689 715 780 795 858 954 990 1060 1166 1170 1287 1378 1430 1590 1716 1749 1908 1980 2067 2145 2332 2340 2385 2574 2756 2860 2915 3180 3445 3498 4134 4290 4770 5148 5247 5830 6201 6435 6890 6996 7579 8268 8580 8745 9540 10335 10494 11660 12402 12870 13780 15158 17490 20670 20988 22737 24804 25740 26235 30316 31005 34980 37895 41340 45474 52470 62010 68211 75790 90948 104940 113685 124020 136422 151580 227370 272844 341055 454740 682110 1364220