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36210020 = 22572113359
BaseRepresentation
bin1000101000100…
…0010101100100
32112010122210212
42022020111210
533232210040
63332034552
7616531400
oct212102544
975118725
1036210020
1119492140
1210162a58
13766a762
144b48100
1532a3d65
hex2288564

36210020 has 72 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 11282880.

The previous prime is 36210019. The next prime is 36210023. The reversal of 36210020 is 2001263.

It is a super-2 number, since 2×362100202 = 2622331096800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 36209977 and 36210004.

It is not an unprimeable number, because it can be changed into a prime (36210023) 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, 9101 + ... + 12459.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 236210020 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 36210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

36210020 is an abundant number, since it is smaller than the sum of its proper divisors (60316060).

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

36210020 is a wasteful number, since it uses less digits than its factorization.

36210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 36210020 is about 6017.4762151586. The cubic root of 36210020 is about 330.8335828254.

Adding to 36210020 its reverse (2001263), we get a palindrome (38211283).

The spelling of 36210020 in words is "thirty-six million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 308 385 490 539 770 980 1078 1540 2156 2695 3359 5390 6718 10780 13436 16795 23513 33590 36949 47026 67180 73898 94052 117565 147796 164591 184745 235130 258643 329182 369490 470260 517286 658364 738980 822955 1034572 1293215 1645910 1810501 2586430 3291820 3621002 5172860 7242004 9052505 18105010 36210020