Search a number
-
+
2128020 = 2235291223
BaseRepresentation
bin1000000111100010010100
311000010002120
420013202110
51021044040
6113335540
724042066
oct10074224
94003076
102128020
1112238a4
128675b0
135967ab
143d5736
152c07d0
hex207894

2128020 has 48 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 547456.

The previous prime is 2128001. The next prime is 2128031. The reversal of 2128020 is 208212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1129 + ... + 2351.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

22128020 is an apocalyptic number.

2128020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2128020 is an abundant number, since it is smaller than the sum of its proper divisors (4040940).

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

2128020 is a wasteful number, since it uses less digits than its factorization.

2128020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2128020 is about 1458.7734573949. The cubic root of 2128020 is about 128.6249547855.

The spelling of 2128020 in words is "two million, one hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1223 1740 2446 3669 4892 6115 7338 12230 14676 18345 24460 35467 36690 70934 73380 106401 141868 177335 212802 354670 425604 532005 709340 1064010 2128020