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4668132 = 2237217467
BaseRepresentation
bin10001110011101011100100
322210011110210
4101303223210
52143340012
6244015420
754451500
oct21635344
98704423
104668132
1126a9267
121691570
13c75a11
14897300
1562323c
hex473ae4

4668132 has 72 divisors (see below), whose sum is σ = 13444704. Its totient is φ = 1252608.

The previous prime is 4668121. The next prime is 4668133. The reversal of 4668132 is 2318664.

4668132 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4668132.

It is not an unprimeable number, because it can be changed into a prime (4668133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9763 + ... + 10229.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 24668132 is an apocalyptic number.

4668132 is a gapful number since it is divisible by the number (42) 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 4668132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722352).

4668132 is an abundant number, since it is smaller than the sum of its proper divisors (8776572).

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

4668132 is a wasteful number, since it uses less digits than its factorization.

4668132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 4668132 is about 2160.5860316127. The cubic root of 4668132 is about 167.1274201746.

The spelling of 4668132 in words is "four million, six hundred sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 467 476 588 714 833 934 1401 1428 1666 1868 2499 2802 3269 3332 4998 5604 6538 7939 9807 9996 13076 15878 19614 22883 23817 31756 39228 45766 47634 55573 68649 91532 95268 111146 137298 166719 222292 274596 333438 389011 666876 778022 1167033 1556044 2334066 4668132