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2012025432 = 2335310714783
BaseRepresentation
bin111011111101101…
…0001001001011000
312012012222111000110
41313323101021120
513110034303212
6531352404320
7100600635234
oct16773211130
95165874013
102012025432
1194281053a
124819a66a0
13260ac7ac1
141513095c4
15bb98aa3c
hex77ed1258

2012025432 has 64 divisors (see below), whose sum is σ = 5173217280. Its totient is φ = 651827072.

The previous prime is 2012025401. The next prime is 2012025437. The reversal of 2012025432 is 2345202102.

It is a junction number, because it is equal to n+sod(n) for n = 2012025399 and 2012025408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012025437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128713 + ... + 143495.

It is an arithmetic number, because the mean of its divisors is an integer number (80831520).

Almost surely, 22012025432 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 2012025432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586608640).

2012025432 is an abundant number, since it is smaller than the sum of its proper divisors (3161191848).

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

2012025432 is a wasteful number, since it uses less digits than its factorization.

2012025432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14952 (or 14948 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2012025432 is about 44855.6064723241. The cubic root of 2012025432 is about 1262.4411881502.

Adding to 2012025432 its reverse (2345202102), we get a palindrome (4357227534).

The spelling of 2012025432 in words is "two billion, twelve million, twenty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 107 159 212 214 318 321 424 428 636 642 856 1272 1284 2568 5671 11342 14783 17013 22684 29566 34026 44349 45368 59132 68052 88698 118264 136104 177396 354792 783499 1566998 1581781 2350497 3133996 3163562 4700994 4745343 6267992 6327124 9401988 9490686 12654248 18803976 18981372 37962744 83834393 167668786 251503179 335337572 503006358 670675144 1006012716 2012025432