Search a number
-
+
2080377684 = 2232711268227
BaseRepresentation
bin111110000000000…
…0000101101010100
312100222121010200100
41330000000231110
513230034041214
6542233414100
7102360630030
oct17400005524
95328533610
102080377684
11978356600
124a086a330
1327200a618
1415a41d1c0
15c298d309
hex7c000b54

2080377684 has 108 divisors (see below), whose sum is σ = 6606107872. Its totient is φ = 540349920.

The previous prime is 2080377661. The next prime is 2080377707. The reversal of 2080377684 is 4867730802.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2080377661) and next prime (2080377707).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3622 + ... + 64605.

Almost surely, 22080377684 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 2080377684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303053936).

2080377684 is an abundant number, since it is smaller than the sum of its proper divisors (4525730188).

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

2080377684 is a wasteful number, since it uses less digits than its factorization.

2080377684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68266 (or 68250 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2080377684 is about 45611.1574507817. The cubic root of 2080377684 is about 1276.5781169472.

The spelling of 2080377684 in words is "two billion, eighty million, three hundred seventy-seven thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 2178 2541 2772 3388 4356 5082 7623 10164 15246 30492 68227 136454 204681 272908 409362 477589 614043 750497 818724 955178 1228086 1432767 1500994 1910356 2251491 2456172 2865534 3001988 4298301 4502982 5253479 5731068 6754473 8255467 8596602 9005964 10506958 13508946 15760437 16510934 17193204 21013916 24766401 27017892 31520874 33021868 47281311 49532802 57788269 63041748 74299203 94562622 99065604 115576538 148598406 173364807 189125244 231153076 297196812 346729614 520094421 693459228 1040188842 2080377684