Search a number
-
+
1608096 = 25372393
BaseRepresentation
bin110001000100110100000
310000200220010
412020212200
5402424341
654244520
716445220
oct6104640
93020803
101608096
119a9206
12656740
13443c49
142dc080
1521b716
hex1889a0

1608096 has 48 divisors (see below), whose sum is σ = 4826304. Its totient is φ = 459264.

The previous prime is 1608083. The next prime is 1608107. The reversal of 1608096 is 6908061.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 525 + ... + 1868.

It is an arithmetic number, because the mean of its divisors is an integer number (100548).

21608096 is an apocalyptic number.

1608096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1608096 is an abundant number, since it is smaller than the sum of its proper divisors (3218208).

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

1608096 is a wasteful number, since it uses less digits than its factorization.

1608096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1608096 is about 1268.1072509847. The cubic root of 1608096 is about 117.1576514558.

It can be divided in two parts, 160 and 8096, that added together give a triangular number (8256 = T128).

The spelling of 1608096 in words is "one million, six hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2393 4786 7179 9572 14358 16751 19144 28716 33502 38288 50253 57432 67004 76576 100506 114864 134008 201012 229728 268016 402024 536032 804048 1608096