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5872120 = 235732011
BaseRepresentation
bin10110011001100111111000
3102001100000221
4112121213320
53000401440
6325505424
7100624612
oct26314770
912040027
105872120
1133508a1
121b72274
1312a7a37
14acbdb2
157aed4a
hex5999f8

5872120 has 32 divisors (see below), whose sum is σ = 13399920. Its totient is φ = 2315520.

The previous prime is 5872117. The next prime is 5872127. The reversal of 5872120 is 212785.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5872127) 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 7 ways as a sum of consecutive naturals, for example, 1915 + ... + 3925.

Almost surely, 25872120 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 5872120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699960).

5872120 is an abundant number, since it is smaller than the sum of its proper divisors (7527800).

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

5872120 is a wasteful number, since it uses less digits than its factorization.

5872120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 5872120 is about 2423.2457572438. The cubic root of 5872120 is about 180.4118143108.

The spelling of 5872120 in words is "five million, eight hundred seventy-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2011 2920 4022 8044 10055 16088 20110 40220 80440 146803 293606 587212 734015 1174424 1468030 2936060 5872120