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1628064 = 25325653
BaseRepresentation
bin110001101011110100000
310001201021200
412031132200
5404044224
654521200
716560354
oct6153640
93051250
101628064
11a12209
12666200
13450069
14305464
152225c9
hex18d7a0

1628064 has 36 divisors (see below), whose sum is σ = 4630626. Its totient is φ = 542592.

The previous prime is 1628063. The next prime is 1628071. The reversal of 1628064 is 4608261.

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 435600 = 1092^2 + 660^2 .

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (1628063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2539 + ... + 3114.

21628064 is an apocalyptic number.

It is an amenable number.

1628064 is an abundant number, since it is smaller than the sum of its proper divisors (3002562).

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

1628064 is a wasteful number, since it uses less digits than its factorization.

1628064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5669 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1628064 is about 1275.9561120979. The cubic root of 1628064 is about 117.6405801923.

The spelling of 1628064 in words is "one million, six hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5653 11306 16959 22612 33918 45224 50877 67836 90448 101754 135672 180896 203508 271344 407016 542688 814032 1628064