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2020536 = 2332719211
BaseRepresentation
bin111101101010010111000
310210122122200
413231102320
51004124121
6111150200
723113530
oct7552270
93718580
102020536
111160071
12815360
135598ab
143a84c0
1529da26
hex1ed4b8

2020536 has 96 divisors (see below), whose sum is σ = 6614400. Its totient is φ = 544320.

The previous prime is 2020511. The next prime is 2020537. The reversal of 2020536 is 6350202.

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 (2020537) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9471 + ... + 9681.

It is an arithmetic number, because the mean of its divisors is an integer number (68900).

22020536 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 2020536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307200).

2020536 is an abundant number, since it is smaller than the sum of its proper divisors (4593864).

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

2020536 is a wasteful number, since it uses less digits than its factorization.

2020536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2020536 is about 1421.4555919901. The cubic root of 2020536 is about 126.4218663767.

Adding to 2020536 its reverse (6350202), we get a palindrome (8370738).

It can be divided in two parts, 2020 and 536, that added together give a triangular number (2556 = T71).

The spelling of 2020536 in words is "two million, twenty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 211 228 252 266 342 399 422 456 504 532 633 684 798 844 1064 1197 1266 1368 1477 1596 1688 1899 2394 2532 2954 3192 3798 4009 4431 4788 5064 5908 7596 8018 8862 9576 11816 12027 13293 15192 16036 17724 24054 26586 28063 32072 35448 36081 48108 53172 56126 72162 84189 96216 106344 112252 144324 168378 224504 252567 288648 336756 505134 673512 1010268 2020536