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1404064 = 25172989
BaseRepresentation
bin101010110110010100000
32122100000101
411112302200
5324412224
650032144
714635324
oct5266240
92570011
101404064
11879992
12578654
133a210c
14287984
151cb044
hex156ca0

1404064 has 48 divisors (see below), whose sum is σ = 3061800. Its totient is φ = 630784.

The previous prime is 1404061. The next prime is 1404071. The reversal of 1404064 is 4604041.

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 211600 = 1092^2 + 460^2 .

It is not an unprimeable number, because it can be changed into a prime (1404061) 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, 15732 + ... + 15820.

21404064 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 1404064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530900).

1404064 is an abundant number, since it is smaller than the sum of its proper divisors (1657736).

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

1404064 is a wasteful number, since it uses less digits than its factorization.

1404064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1404064 is about 1184.9320655633. The cubic root of 1404064 is about 111.9770361083.

The spelling of 1404064 in words is "one million, four hundred four thousand, sixty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 89 116 136 178 232 272 356 464 493 544 712 928 986 1424 1513 1972 2581 2848 3026 3944 5162 6052 7888 10324 12104 15776 20648 24208 41296 43877 48416 82592 87754 175508 351016 702032 1404064