Search a number
-
+
3115455440 = 245611095857
BaseRepresentation
bin1011100110110010…
…0001001111010000
322001010021112102112
42321230201033100
522340024033230
61233051004452
7140126635316
oct27154411720
98033245375
103115455440
111359658869
1272b439728
133a85a9a76
14217a9c0b6
1513379cd95
hexb9b213d0

3115455440 has 80 divisors (see below), whose sum is σ = 7430990160. Its totient is φ = 1214300160.

The previous prime is 3115455439. The next prime is 3115455451. The reversal of 3115455440 is 445545113.

It can be written as a sum of positive squares in 8 ways, for example, as 29584 + 3115425856 = 172^2 + 55816^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3115455397 and 3115455406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528992 + ... + 534848.

It is an arithmetic number, because the mean of its divisors is an integer number (92887377).

Almost surely, 23115455440 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 3115455440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715495080).

3115455440 is an abundant number, since it is smaller than the sum of its proper divisors (4315534720).

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

3115455440 is a wasteful number, since it uses less digits than its factorization.

3115455440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 3115455440 is about 55816.2650129870. The cubic root of 3115455440 is about 1460.5188998115.

The spelling of 3115455440 in words is "three billion, one hundred fifteen million, four hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 109 122 218 244 305 436 488 545 610 872 976 1090 1220 1744 2180 2440 4360 4880 5857 6649 8720 11714 13298 23428 26596 29285 33245 46856 53192 58570 66490 93712 106384 117140 132980 234280 265960 357277 468560 531920 638413 714554 1276826 1429108 1786385 2553652 2858216 3192065 3572770 5107304 5716432 6384130 7145540 10214608 12768260 14291080 25536520 28582160 38943193 51073040 77886386 155772772 194715965 311545544 389431930 623091088 778863860 1557727720 3115455440