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4676140 = 2257127263
BaseRepresentation
bin10001110101101000101100
322210120110101
4101311220230
52144114030
6244120444
754514030
oct21655054
98716411
104676140
112704287
121696124
13c79561
1489a1c0
156257ca
hex475a2c

4676140 has 48 divisors (see below), whose sum is σ = 11354112. Its totient is φ = 1584576.

The previous prime is 4676117. The next prime is 4676141. The reversal of 4676140 is 416764.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4676099 and 4676108.

It is not an unprimeable number, because it can be changed into a prime (4676141) 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, 17649 + ... + 17911.

It is an arithmetic number, because the mean of its divisors is an integer number (236544).

Almost surely, 24676140 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 4676140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677056).

4676140 is an abundant number, since it is smaller than the sum of its proper divisors (6677972).

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

4676140 is a wasteful number, since it uses less digits than its factorization.

4676140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4676140 is about 2162.4384384301. The cubic root of 4676140 is about 167.2229324558. Note that the first 3 decimals are identical.

The spelling of 4676140 in words is "four million, six hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 263 508 526 635 889 1052 1270 1315 1778 1841 2540 2630 3556 3682 4445 5260 7364 8890 9205 17780 18410 33401 36820 66802 133604 167005 233807 334010 467614 668020 935228 1169035 2338070 4676140