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2020102032 = 2431316319861
BaseRepresentation
bin111100001101000…
…0100111110010000
312012210011211000210
41320122010332100
513114121231112
6532241444120
7101026404204
oct17032047620
95183154023
102020102032
11947327613
12484640640
13262695060
1415240cb04
15bc533b3c
hex78684f90

2020102032 has 80 divisors (see below), whose sum is σ = 5654790848. Its totient is φ = 617725440.

The previous prime is 2020102001. The next prime is 2020102033. The reversal of 2020102032 is 2302010202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2020101999 and 2020102017.

It is not an unprimeable number, because it can be changed into a prime (2020102033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91782 + ... + 111642.

Almost surely, 22020102032 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 2020102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827395424).

2020102032 is an abundant number, since it is smaller than the sum of its proper divisors (3634688816).

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

2020102032 is a wasteful number, since it uses less digits than its factorization.

2020102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20048 (or 20042 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2020102032 is about 44945.5451852572. The cubic root of 2020102032 is about 1264.1281482263.

Adding to 2020102032 its reverse (2302010202), we get a palindrome (4322112234).

The spelling of 2020102032 in words is "two billion, twenty million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 163 208 312 326 489 624 652 978 1304 1956 2119 2608 3912 4238 6357 7824 8476 12714 16952 19861 25428 33904 39722 50856 59583 79444 101712 119166 158888 238332 258193 317776 476664 516386 774579 953328 1032772 1549158 2065544 3098316 3237343 4131088 6196632 6474686 9712029 12393264 12949372 19424058 25898744 38848116 42085459 51797488 77696232 84170918 126256377 155392464 168341836 252512754 336683672 505025508 673367344 1010051016 2020102032