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2032412020 = 225234679461
BaseRepresentation
bin111100100100100…
…0010010101110100
312020122100020011021
41321021002111310
513130244141040
6533401350524
7101236134322
oct17111022564
95218306137
102032412020
11953275261
12488798444
132650b5182
14153cd4d12
15bd66624a
hex79242574

2032412020 has 48 divisors (see below), whose sum is σ = 4463641728. Its totient is φ = 775871360.

The previous prime is 2032411993. The next prime is 2032412021. The reversal of 2032412020 is 202142302.

It is a junction number, because it is equal to n+sod(n) for n = 2032411985 and 2032412003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032412021) 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, 210090 + ... + 219550.

It is an arithmetic number, because the mean of its divisors is an integer number (92992536).

Almost surely, 22032412020 is an apocalyptic number.

2032412020 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 2032412020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231820864).

2032412020 is an abundant number, since it is smaller than the sum of its proper divisors (2431229708).

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

2032412020 is a wasteful number, since it uses less digits than its factorization.

2032412020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9960 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2032412020 is about 45082.2805545593. The cubic root of 2032412020 is about 1266.6907085311.

Adding to 2032412020 its reverse (202142302), we get a palindrome (2234554322).

The spelling of 2032412020 in words is "two billion, thirty-two million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 467 934 1868 2335 4670 9340 9461 10741 18922 21482 37844 42964 47305 53705 94610 107410 189220 214820 217603 435206 870412 1088015 2176030 4352060 4418287 8836574 17673148 22091435 44182870 88365740 101620601 203241202 406482404 508103005 1016206010 2032412020