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2080108408 = 23732321433
BaseRepresentation
bin111101111111011…
…1110111101111000
312100222002110022011
41323332332331320
513230001432113
6542223535304
7102355426000
oct17376767570
95328073264
102080108408
11978192264
124a075a534
13271c44ba1
1415a38d000
15c293863d
hex7bfbef78

2080108408 has 96 divisors (see below), whose sum is σ = 4758012000. Its totient is φ = 852120192.

The previous prime is 2080108403. The next prime is 2080108417. The reversal of 2080108408 is 8048010802.

It is a self number, because there is not a number n which added to its sum of digits gives 2080108408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2080108403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1450860 + ... + 1452292.

It is an arithmetic number, because the mean of its divisors is an integer number (49562625).

Almost surely, 22080108408 is an apocalyptic number.

2080108408 is a gapful number since it is divisible by the number (28) 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 2080108408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379006000).

2080108408 is an abundant number, since it is smaller than the sum of its proper divisors (2677903592).

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

2080108408 is a wasteful number, since it uses less digits than its factorization.

2080108408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 2080108408 is about 45608.2054898019. The cubic root of 2080108408 is about 1276.5230361343.

The spelling of 2080108408 in words is "two billion, eighty million, one hundred eight thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 343 392 529 644 686 1058 1127 1288 1372 1433 2116 2254 2744 2866 3703 4232 4508 5732 7406 7889 9016 10031 11464 14812 15778 20062 25921 29624 31556 32959 40124 51842 63112 65918 70217 80248 103684 131836 140434 181447 207368 230713 263672 280868 362894 461426 491519 561736 725788 758057 922852 983038 1451576 1516114 1614991 1845704 1966076 3032228 3229982 3932152 5306399 6064456 6459964 10612798 11304937 12919928 21225596 22609874 37144793 42451192 45219748 74289586 90439496 148579172 260013551 297158344 520027102 1040054204 2080108408