Search a number
-
+
2020608 = 2832877
BaseRepresentation
bin111101101010100000000
310210122202100
413231110000
51004124413
6111150400
723113662
oct7552400
93718670
102020608
111160127
12815400
13559935
143a8532
1529da73
hex1ed500

2020608 has 54 divisors (see below), whose sum is σ = 5832554. Its totient is φ = 672768.

The previous prime is 2020597. The next prime is 2020609. The reversal of 2020608 is 8060202.

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 82944 = 1392^2 + 288^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1866 + ... + 2742.

22020608 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 2020608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916277).

2020608 is an abundant number, since it is smaller than the sum of its proper divisors (3811946).

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

2020608 is an equidigital number, since it uses as much as digits as its factorization.

2020608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 882 counting only the distinct ones).

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

The square root of 2020608 is about 1421.4809179162. The cubic root of 2020608 is about 126.4233680024.

It can be divided in two parts, 2020 and 608, that added together give a triangular number (2628 = T72).

The spelling of 2020608 in words is "two million, twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 877 1152 1754 2304 2631 3508 5262 7016 7893 10524 14032 15786 21048 28064 31572 42096 56128 63144 84192 112256 126288 168384 224512 252576 336768 505152 673536 1010304 2020608