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1362420 = 22345292
BaseRepresentation
bin101001100100111110100
32120012220000
411030213310
5322044140
645111300
714403033
oct5144764
92505800
101362420
11850674
12558530
13389187
1427671a
151bda30
hex14c9f4

1362420 has 90 divisors (see below), whose sum is σ = 4426422. Its totient is φ = 350784.

The previous prime is 1362409. The next prime is 1362421. The reversal of 1362420 is 242631.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 156816 + 1205604 = 396^2 + 1098^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 = 1362393 and 1362402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362421) 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 29 ways as a sum of consecutive naturals, for example, 46966 + ... + 46994.

21362420 is an apocalyptic number.

1362420 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 1362420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213211).

1362420 is an abundant number, since it is smaller than the sum of its proper divisors (3064002).

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

1362420 is a wasteful number, since it uses less digits than its factorization.

1362420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 39 counting only the distinct ones).

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

The square root of 1362420 is about 1167.2274842549. The cubic root of 1362420 is about 110.8588417491.

It can be divided in two parts, 136 and 2420, that added together give a triangular number (2556 = T71).

The spelling of 1362420 in words is "one million, three hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 783 810 841 870 1044 1305 1566 1620 1682 1740 2349 2523 2610 3132 3364 3915 4205 4698 5046 5220 7569 7830 8410 9396 10092 11745 12615 15138 15660 16820 22707 23490 25230 30276 37845 45414 46980 50460 68121 75690 90828 113535 136242 151380 227070 272484 340605 454140 681210 1362420