Search a number
-
+
1668601824 = 25317381269
BaseRepresentation
bin110001101110100…
…1101011111100000
311022021202202101120
41203131031133200
511404130224244
6433323532240
756230611231
oct14335153740
94267682346
101668601824
1178697827a
123a698a080
13207905076
1411b871088
159b750819
hex6374d7e0

1668601824 has 24 divisors (see below), whose sum is σ = 4380080040. Its totient is φ = 556200576.

The previous prime is 1668601811. The next prime is 1668601829. The reversal of 1668601824 is 4281068661.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×16686018242 = 5568464094112253952, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668601829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8690539 + ... + 8690730.

It is an arithmetic number, because the mean of its divisors is an integer number (182503335).

Almost surely, 21668601824 is an apocalyptic number.

It is an amenable number.

1668601824 is an abundant number, since it is smaller than the sum of its proper divisors (2711478216).

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

1668601824 is a wasteful number, since it uses less digits than its factorization.

1668601824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17381282 (or 17381274 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1668601824 is about 40848.5229108716. The cubic root of 1668601824 is about 1186.0898005556.

The spelling of 1668601824 in words is "one billion, six hundred sixty-eight million, six hundred one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 17381269 34762538 52143807 69525076 104287614 139050152 208575228 278100304 417150456 556200608 834300912 1668601824