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4680676 = 22721113167
BaseRepresentation
bin10001110110101111100100
322210210200101
4101312233210
52144240201
6244153444
754533200
oct21665744
98723611
104680676
112707730
121698884
13c7b640
1489bb00
15626d01
hex476be4

4680676 has 72 divisors (see below), whose sum is σ = 11261376. Its totient is φ = 1673280.

The previous prime is 4680673. The next prime is 4680677. The reversal of 4680676 is 6760864.

It is not an unprimeable number, because it can be changed into a prime (4680673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27945 + ... + 28111.

It is an arithmetic number, because the mean of its divisors is an integer number (156408).

Almost surely, 24680676 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 4680676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630688).

4680676 is an abundant number, since it is smaller than the sum of its proper divisors (6580700).

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

4680676 is a wasteful number, since it uses less digits than its factorization.

4680676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 4680676 is about 2163.4870001921. The cubic root of 4680676 is about 167.2769854490.

It can be divided in two parts, 4680 and 676, that added together give a triangular number (5356 = T103).

The spelling of 4680676 in words is "four million, six hundred eighty thousand, six hundred seventy-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 167 182 196 286 308 334 364 539 572 637 668 1001 1078 1169 1274 1837 2002 2156 2171 2338 2548 3674 4004 4342 4676 7007 7348 8183 8684 12859 14014 15197 16366 23881 25718 28028 30394 32732 47762 51436 60788 90013 95524 106379 167167 180026 212758 334334 360052 425516 668668 1170169 2340338 4680676