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1604096 = 2913241
BaseRepresentation
bin110000111101000000000
310000111101222
412013220000
5402312341
654214212
716430444
oct6075000
93014358
101604096
119a61aa
12654368
13442190
142da824
1521a44b
hex187a00

1604096 has 40 divisors (see below), whose sum is σ = 3465924. Its totient is φ = 737280.

The previous prime is 1604093. The next prime is 1604101. The reversal of 1604096 is 6904061.

It can be written as a sum of positive squares in 2 ways, for example, as 1597696 + 6400 = 1264^2 + 80^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1604093) 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, 6536 + ... + 6776.

21604096 is an apocalyptic number.

1604096 is a gapful number since it is divisible by the number (16) 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 1604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732962).

1604096 is an abundant number, since it is smaller than the sum of its proper divisors (1861828).

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

1604096 is an equidigital number, since it uses as much as digits as its factorization.

1604096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 1604096 is about 1266.5291153385. The cubic root of 1604096 is about 117.0604309534.

The spelling of 1604096 in words is "one million, six hundred four thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 241 256 416 482 512 832 964 1664 1928 3133 3328 3856 6266 6656 7712 12532 15424 25064 30848 50128 61696 100256 123392 200512 401024 802048 1604096