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4768020 = 2232526489
BaseRepresentation
bin10010001100000100010100
322222020111100
4102030010110
52210034040
6250110100
755345635
oct22140424
98866440
104768020
112767314
12171b330
13cac31a
148c188c
15642b30
hex48c114

4768020 has 36 divisors (see below), whose sum is σ = 14463540. Its totient is φ = 1271424.

The previous prime is 4768019. The next prime is 4768021. The reversal of 4768020 is 208674.

It is an interprime number because it is at equal distance from previous prime (4768019) and next prime (4768021).

It can be written as a sum of positive squares in 2 ways, for example, as 1397124 + 3370896 = 1182^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13065 + ... + 13424.

It is an arithmetic number, because the mean of its divisors is an integer number (401765).

Almost surely, 24768020 is an apocalyptic number.

It is an amenable number.

4768020 is an abundant number, since it is smaller than the sum of its proper divisors (9695520).

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

4768020 is a wasteful number, since it uses less digits than its factorization.

4768020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26504 (or 26499 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4768020 is about 2183.5796298738. The cubic root of 4768020 is about 168.3110733127.

The spelling of 4768020 in words is "four million, seven hundred sixty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 26489 52978 79467 105956 132445 158934 238401 264890 317868 397335 476802 529780 794670 953604 1192005 1589340 2384010 4768020