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1609040 = 24520113
BaseRepresentation
bin110001000110101010000
310000202012002
412020311100
5402442130
654253132
716451036
oct6106520
93022162
101609040
119a9994
126571a8
134444c4
142dc556
1521bb45
hex188d50

1609040 has 20 divisors (see below), whose sum is σ = 3741204. Its totient is φ = 643584.

The previous prime is 1609037. The next prime is 1609043. The reversal of 1609040 is 409061.

It is an interprime number because it is at equal distance from previous prime (1609037) and next prime (1609043).

It can be written as a sum of positive squares in 2 ways, for example, as 300304 + 1308736 = 548^2 + 1144^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9977 + ... + 10136.

21609040 is an apocalyptic number.

1609040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1609040 is an abundant number, since it is smaller than the sum of its proper divisors (2132164).

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

1609040 is a wasteful number, since it uses less digits than its factorization.

1609040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20126 (or 20120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1609040 is about 1268.4794046416. The cubic root of 1609040 is about 117.1805719756.

The spelling of 1609040 in words is "one million, six hundred nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 20113 40226 80452 100565 160904 201130 321808 402260 804520 1609040