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1380986208 = 25327297859
BaseRepresentation
bin101001001010000…
…0010110101100000
310120020120100221100
41102110002311200
510312013024313
6345011154400
746136121600
oct12224026540
93506510840
101380986208
11649592418
123265a5a00
13190152204
14d15a2c00
158138b173
hex52502d60

1380986208 has 108 divisors (see below), whose sum is σ = 4568398380. Its totient is φ = 394563456.

The previous prime is 1380986203. The next prime is 1380986213. The reversal of 1380986208 is 8026890831.

1380986208 is a `hidden beast` number, since 13 + 8 + 0 + 9 + 8 + 620 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1380986203) and next prime (1380986213).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380986203) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 34818 + ... + 63041.

It is an arithmetic number, because the mean of its divisors is an integer number (42299985).

Almost surely, 21380986208 is an apocalyptic number.

1380986208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1380986208 is an abundant number, since it is smaller than the sum of its proper divisors (3187412172).

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

1380986208 is a wasteful number, since it uses less digits than its factorization.

1380986208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97889 (or 97871 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1380986208 is about 37161.6227848031. The cubic root of 1380986208 is about 1113.6014312060.

The spelling of 1380986208 in words is "one billion, three hundred eighty million, nine hundred eighty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 97859 195718 293577 391436 587154 685013 782872 880731 1174308 1370026 1565744 1761462 2055039 2348616 2740052 3131488 3522924 4110078 4697232 4795091 5480104 6165117 7045848 8220156 9394464 9590182 10960208 12330234 14091696 14385273 16440312 19180364 21920416 24660468 28183392 28770546 32880624 38360728 43155819 49320936 57541092 65761248 76721456 86311638 98641872 115082184 153442912 172623276 197283744 230164368 345246552 460328736 690493104 1380986208