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4020013205 = 5131729331379
BaseRepresentation
bin1110111110011100…
…1000100010010101
3101101011100211101222
43233213020202111
531213110410310
61502522500125
7201422356055
oct35747104225
911334324358
104020013205
11178321346a
12942364645
134c0b0ab50
142a1c83565
15187dca055
hexef9c8895

4020013205 has 64 divisors (see below), whose sum is σ = 5722617600. Its totient is φ = 2682408960.

The previous prime is 4020013201. The next prime is 4020013229. The reversal of 4020013205 is 5023100204.

It is not a de Polignac number, because 4020013205 - 22 = 4020013201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020013201) 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 63 ways as a sum of consecutive naturals, for example, 10606706 + ... + 10607084.

It is an arithmetic number, because the mean of its divisors is an integer number (89415900).

Almost surely, 24020013205 is an apocalyptic number.

It is an amenable number.

4020013205 is a deficient number, since it is larger than the sum of its proper divisors (1702604395).

4020013205 is a wasteful number, since it uses less digits than its factorization.

4020013205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 4020013205 is about 63403.5740711831. The cubic root of 4020013205 is about 1590.0440641507.

Adding to 4020013205 its reverse (5023100204), we get a palindrome (9043113409).

The spelling of 4020013205 in words is "four billion, twenty million, thirteen thousand, two hundred five".

Divisors: 1 5 13 17 29 65 85 145 221 331 377 379 493 1105 1655 1885 1895 2465 4303 4927 5627 6409 6443 9599 10991 21515 24635 28135 32045 32215 47995 54955 73151 83759 124787 125449 142883 163183 186847 365755 418795 623935 627245 714415 815915 934235 1630837 2121379 2132633 2429011 3638021 8154185 10606895 10663165 12145055 18190105 27724229 47294273 61846357 138621145 236471365 309231785 804002641 4020013205