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4812120 = 2332513367
BaseRepresentation
bin10010010110110101011000
3100001110222200
4102112311120
52212441440
6251050200
755621335
oct22266530
910043880
104812120
112797465
121740960
13cc6411
148d398c
15650c30
hex496d58

4812120 has 48 divisors (see below), whose sum is σ = 15640560. Its totient is φ = 1283136.

The previous prime is 4812113. The next prime is 4812121. The reversal of 4812120 is 212184.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 4812093 and 4812102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4812121) 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 11 ways as a sum of consecutive naturals, for example, 6324 + ... + 7043.

It is an arithmetic number, because the mean of its divisors is an integer number (325845).

Almost surely, 24812120 is an apocalyptic number.

4812120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4812120 is an abundant number, since it is smaller than the sum of its proper divisors (10828440).

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

4812120 is a wasteful number, since it uses less digits than its factorization.

4812120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13384 (or 13377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4812120 is about 2193.6544851001. The cubic root of 4812120 is about 168.8283915617.

It can be divided in two parts, 481 and 2120, that added together give a square (2601 = 512).

The spelling of 4812120 in words is "four million, eight hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 13367 26734 40101 53468 66835 80202 106936 120303 133670 160404 200505 240606 267340 320808 401010 481212 534680 601515 802020 962424 1203030 1604040 2406060 4812120