Search a number
2032128 = 293472
BaseRepresentation
bin111110000001000000000
310211020120000
413300020000
51010012003
6111320000
723162400
oct7601000
93736500
102032128
11116884a
12820000
13561c57
143ac800
152a21a3
hex1f0200

2032128 has 150 divisors (see below), whose sum is σ = 7055631. Its totient is φ = 580608.

The previous prime is 2032111. The next prime is 2032133. The reversal of 2032128 is 8212302.

Multipling 2032128 by its sum of digits (18), we get a square (36578304 = 60482).

2032128 divided by its sum of digits (18) gives a square (112896 = 3362).

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1016064 + 1016064 = 1008^2 + 1008^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1008.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2032128.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 290301 + ... + 290307.

22032128 is an apocalyptic number.

2032128 is a gapful number since it is divisible by the number (28) 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 2032128

2032128 is an abundant number, since it is smaller than the sum of its proper divisors (5023503).

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

2032128 is an frugal number, since it uses more digits than its factorization.

2032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2032128 is about 1425.5272708721. The cubic root of 2032128 is about 126.6631701097.

The spelling of 2032128 in words is "two million, thirty-two thousand, one hundred twenty-eight".