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2012003620 = 2251114961379
BaseRepresentation
bin111011111101100…
…1011110100100100
312012012221101002121
41313323023310210
513110033103440
6531352115324
7100600514524
oct16773136444
95165841077
102012003620
119427a6110
12481995b44
13260ababb3
14151301684
15bb98434a
hex77ecbd24

2012003620 has 48 divisors (see below), whose sum is σ = 4640328000. Its totient is φ = 726715520.

The previous prime is 2012003603. The next prime is 2012003621. The reversal of 2012003620 is 263002102.

It is a junction number, because it is equal to n+sod(n) for n = 2012003594 and 2012003603.

It is not an unprimeable number, because it can be changed into a prime (2012003621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2091 + ... + 63469.

It is an arithmetic number, because the mean of its divisors is an integer number (96673500).

Almost surely, 22012003620 is an apocalyptic number.

2012003620 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 2012003620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320164000).

2012003620 is an abundant number, since it is smaller than the sum of its proper divisors (2628324380).

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

2012003620 is a wasteful number, since it uses less digits than its factorization.

2012003620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61548 (or 61546 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2012003620 is about 44855.3633359490. The cubic root of 2012003620 is about 1262.4366261689.

Adding to 2012003620 its reverse (263002102), we get a palindrome (2275005722).

The spelling of 2012003620 in words is "two billion, twelve million, three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 149 220 298 596 745 1490 1639 2980 3278 6556 8195 16390 32780 61379 122758 245516 306895 613790 675169 1227580 1350338 2700676 3375845 6751690 9145471 13503380 18290942 36581884 45727355 91454710 100600181 182909420 201200362 402400724 503000905 1006001810 2012003620