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2014003020 = 2235292275099
BaseRepresentation
bin111100000001011…
…0011111101001100
312012100200221202110
41320002303331030
513111041044040
6531503024020
7100623512631
oct17002637514
95170627673
102014003020
11943941307
1248259b010
1326133ac83
141516a2188
15bbc2b980
hex780b3f4c

2014003020 has 96 divisors (see below), whose sum is σ = 5860512000. Its totient is φ = 516162304.

The previous prime is 2014003007. The next prime is 2014003031. The reversal of 2014003020 is 203004102.

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 = 2014002987 and 2014003005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392431 + ... + 397529.

It is an arithmetic number, because the mean of its divisors is an integer number (61047000).

Almost surely, 22014003020 is an apocalyptic number.

2014003020 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 2014003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256000).

2014003020 is an abundant number, since it is smaller than the sum of its proper divisors (3846508980).

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

2014003020 is a wasteful number, since it uses less digits than its factorization.

2014003020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5365 counting only the distinct ones).

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

The square root of 2014003020 is about 44877.6449916882. The cubic root of 2014003020 is about 1262.8546638777.

Adding to 2014003020 its reverse (203004102), we get a palindrome (2217007122).

The spelling of 2014003020 in words is "two billion, fourteen million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 227 290 348 435 454 580 681 870 908 1135 1362 1740 2270 2724 3405 4540 5099 6583 6810 10198 13166 13620 15297 19749 20396 25495 26332 30594 32915 39498 50990 61188 65830 76485 78996 98745 101980 131660 147871 152970 197490 295742 305940 394980 443613 591484 739355 887226 1157473 1478710 1774452 2218065 2314946 2957420 3472419 4436130 4629892 5787365 6944838 8872260 11574730 13889676 17362095 23149460 33566717 34724190 67133434 69448380 100700151 134266868 167833585 201400302 335667170 402800604 503500755 671334340 1007001510 2014003020