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4680756 = 2232130021
BaseRepresentation
bin10001110110110000110100
322210210210100
4101312300310
52144241011
6244154100
754533343
oct21666064
98723710
104680756
1127077a3
121698930
13c7b6a2
1489bb5a
15626d56
hex476c34

4680756 has 18 divisors (see below), whose sum is σ = 11832002. Its totient is φ = 1560240.

The previous prime is 4680749. The next prime is 4680757. The reversal of 4680756 is 6570864.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2624400 + 2056356 = 1620^2 + 1434^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 130021 = 4680756 / (4 + 6 + 8 + 0 + 7 + 5 + 6).

It is a d-powerful number, because it can be written as 45 + 64 + 87 + 0 + 77 + 57 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 4680756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4680757) 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 5 ways as a sum of consecutive naturals, for example, 64975 + ... + 65046.

Almost surely, 24680756 is an apocalyptic number.

It is an amenable number.

4680756 is an abundant number, since it is smaller than the sum of its proper divisors (7151246).

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

4680756 is a wasteful number, since it uses less digits than its factorization.

4680756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130031 (or 130026 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4680756 is about 2163.5054887843. The cubic root of 4680756 is about 167.2779384511.

The spelling of 4680756 in words is "four million, six hundred eighty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 130021 260042 390063 520084 780126 1170189 1560252 2340378 4680756