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1352064 = 2737503
BaseRepresentation
bin101001010000110000000
32112200200110
411022012000
5321231224
644551320
714330610
oct5120600
92480613
101352064
1184390a
12552540
1338454c
14272a40
151ba929
hex14a180

1352064 has 64 divisors (see below), whose sum is σ = 4112640. Its totient is φ = 385536.

The previous prime is 1351997. The next prime is 1352069. The reversal of 1352064 is 4602531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1352064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2437 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

21352064 is an apocalyptic number.

1352064 is a gapful number since it is divisible by the number (14) 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 1352064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320).

1352064 is an abundant number, since it is smaller than the sum of its proper divisors (2760576).

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

1352064 is an equidigital number, since it uses as much as digits as its factorization.

1352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1352064 is about 1162.7828688109. The cubic root of 1352064 is about 110.5772410271.

Adding to 1352064 its reverse (4602531), we get a palindrome (5954595).

The spelling of 1352064 in words is "one million, three hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 503 672 896 1006 1344 1509 2012 2688 3018 3521 4024 6036 7042 8048 10563 12072 14084 16096 21126 24144 28168 32192 42252 48288 56336 64384 84504 96576 112672 169008 193152 225344 338016 450688 676032 1352064