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4680132 = 2232331547
BaseRepresentation
bin10001110110100111000100
322210202221020
4101312213010
52144231012
6244151140
754531462
oct21664704
98722836
104680132
112707286
1216984b0
13c7b312
1489b832
15626a8c
hex4769c4

4680132 has 48 divisors (see below), whose sum is σ = 11784192. Its totient is φ = 1441440.

The previous prime is 4680131. The next prime is 4680149. The reversal of 4680132 is 2310864.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4680131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8283 + ... + 8829.

It is an arithmetic number, because the mean of its divisors is an integer number (245504).

Almost surely, 24680132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4680132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892096).

4680132 is an abundant number, since it is smaller than the sum of its proper divisors (7104060).

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

4680132 is a wasteful number, since it uses less digits than its factorization.

4680132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4680132 is about 2163.3612735741. The cubic root of 4680132 is about 167.2705047465.

Adding to 4680132 its reverse (2310864), we get a palindrome (6990996).

The spelling of 4680132 in words is "four million, six hundred eighty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 547 713 1094 1426 1641 2139 2188 2852 3282 4278 6564 8556 12581 16957 25162 33914 37743 50324 50871 67828 75486 101742 150972 203484 390011 780022 1170033 1560044 2340066 4680132