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2032020 = 223355371
BaseRepresentation
bin111110000000110010100
310211020102000
413300012110
51010011040
6111315300
723162154
oct7600624
93736360
102032020
111168761
1281bb30
13561ba3
143ac764
152a2130
hex1f0194

2032020 has 96 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 524160.

The previous prime is 2032013. The next prime is 2032021. The reversal of 2032020 is 202302.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2031993 and 2032011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28585 + ... + 28655.

It is an arithmetic number, because the mean of its divisors is an integer number (68040).

22032020 is an apocalyptic number.

2032020 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 2032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2032020 is an abundant number, since it is smaller than the sum of its proper divisors (4499820).

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

2032020 is a wasteful number, since it uses less digits than its factorization.

2032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2032020 is about 1425.4893896483. The cubic root of 2032020 is about 126.6609261788.

Adding to 2032020 its reverse (202302), we get a palindrome (2234322).

The spelling of 2032020 in words is "two million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 71 90 106 108 135 142 159 180 212 213 265 270 284 318 355 426 477 530 540 636 639 710 795 852 954 1060 1065 1278 1420 1431 1590 1908 1917 2130 2385 2556 2862 3180 3195 3763 3834 4260 4770 5724 6390 7155 7526 7668 9540 9585 11289 12780 14310 15052 18815 19170 22578 28620 33867 37630 38340 45156 56445 67734 75260 101601 112890 135468 169335 203202 225780 338670 406404 508005 677340 1016010 2032020