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1366020 = 223257589
BaseRepresentation
bin101001101100000000100
32120101211100
411031200010
5322203040
645140100
714416365
oct5154004
92511740
101366020
11853347
1255a630
1338a9c6
14277b6c
151beb30
hex14d804

1366020 has 36 divisors (see below), whose sum is σ = 4144140. Its totient is φ = 364224.

The previous prime is 1366019. The next prime is 1366021. The reversal of 1366020 is 206631.

Added to its reverse (206631) it gives a triangular number (1572651 = T1773).

It is a happy number.

1366020 is a `hidden beast` number, since 1 + 3 + 660 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1366019) and next prime (1366021).

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 1179396 = 432^2 + 1086^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1365984 and 1366002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1366021) by changing a digit.

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, 3615 + ... + 3974.

It is an arithmetic number, because the mean of its divisors is an integer number (115115).

21366020 is an apocalyptic number.

1366020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1366020 is an abundant number, since it is smaller than the sum of its proper divisors (2778120).

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

1366020 is a wasteful number, since it uses less digits than its factorization.

1366020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7604 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1366020 is about 1168.7685827400. The cubic root of 1366020 is about 110.9563987508.

Adding to 1366020 its reverse (206631), we get a triangular number (1572651 = T1773).

The spelling of 1366020 in words is "one million, three hundred sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7589 15178 22767 30356 37945 45534 68301 75890 91068 113835 136602 151780 227670 273204 341505 455340 683010 1366020