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5128020 = 2232531919
BaseRepresentation
bin10011100011111101010100
3100122112022200
4103203331110
52303044040
6301524500
761405332
oct23437524
910575280
105128020
112992837
121873730
1310a7141
14976b52
156b4630
hex4e3f54

5128020 has 72 divisors (see below), whose sum is σ = 16074240. Its totient is φ = 1321920.

The previous prime is 5128007. The next prime is 5128021. The reversal of 5128020 is 208215.

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

It is a junction number, because it is equal to n+sod(n) for n = 5127984 and 5128002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5128021) 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 23 ways as a sum of consecutive naturals, for example, 5121 + ... + 6039.

Almost surely, 25128020 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 5128020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037120).

5128020 is an abundant number, since it is smaller than the sum of its proper divisors (10946220).

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

5128020 is a wasteful number, since it uses less digits than its factorization.

5128020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5128020 is about 2264.5131927194. The cubic root of 5128020 is about 172.4447207875. Note that the first 3 decimals are identical.

The spelling of 5128020 in words is "five million, one hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 919 930 1116 1395 1838 1860 2757 2790 3676 4595 5514 5580 8271 9190 11028 13785 16542 18380 27570 28489 33084 41355 55140 56978 82710 85467 113956 142445 165420 170934 256401 284890 341868 427335 512802 569780 854670 1025604 1282005 1709340 2564010 5128020