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1364608 = 2771523
BaseRepresentation
bin101001101001010000000
32120022220001
411031022000
5322131413
645125344
714412310
oct5151200
92508801
101364608
11852283
12559854
1338a17b
14277440
151be4dd
hex14d280

1364608 has 32 divisors (see below), whose sum is σ = 3108960. Its totient is φ = 584448.

The previous prime is 1364581. The next prime is 1364609. The reversal of 1364608 is 8064631.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×13646083 = 7623334804781531136, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1364609) 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 3 ways as a sum of consecutive naturals, for example, 135 + ... + 1657.

It is an arithmetic number, because the mean of its divisors is an integer number (97155).

21364608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554480).

1364608 is an abundant number, since it is smaller than the sum of its proper divisors (1744352).

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

1364608 is an equidigital number, since it uses as much as digits as its factorization.

1364608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1364608 is about 1168.1643719957. The cubic root of 1364608 is about 110.9181551801.

The spelling of 1364608 in words is "one million, three hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 1523 3046 6092 10661 12184 21322 24368 42644 48736 85288 97472 170576 194944 341152 682304 1364608