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2020144 = 247171061
BaseRepresentation
bin111101101001100110000
310210122010011
413231030300
51004121034
6111144304
723112430
oct7551460
93718104
102020144
11115a845
12815094
13559669
143a82c0
1529d864
hex1ed330

2020144 has 40 divisors (see below), whose sum is σ = 4740768. Its totient is φ = 814080.

The previous prime is 2020091. The next prime is 2020147. The reversal of 2020144 is 4410202.

It is not an unprimeable number, because it can be changed into a prime (2020147) 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 7 ways as a sum of consecutive naturals, for example, 1374 + ... + 2434.

22020144 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 2020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370384).

2020144 is an abundant number, since it is smaller than the sum of its proper divisors (2720624).

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

2020144 is a wasteful number, since it uses less digits than its factorization.

2020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2020144 is about 1421.3176984756. The cubic root of 2020144 is about 126.4136902332.

Adding to 2020144 its reverse (4410202), we get a palindrome (6430346).

It can be divided in two parts, 20 and 20144, that added together give a square (20164 = 1422).

The spelling of 2020144 in words is "two million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1061 1904 2122 4244 7427 8488 14854 16976 18037 29708 36074 59416 72148 118832 126259 144296 252518 288592 505036 1010072 2020144