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1386100000 = 255583167
BaseRepresentation
bin101001010011110…
…0011010100100000
310120121012011202001
41102213203110200
510314320200000
6345312533344
746230440605
oct12247432440
93517164661
101386100000
1165146549a
12328251254
13191222a1c
14d21346ac
1581a4b46a
hex529e3520

1386100000 has 144 divisors (see below), whose sum is σ = 3472652736. Its totient is φ = 544480000.

The previous prime is 1386099961. The next prime is 1386100013. The reversal of 1386100000 is 16831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8299917 + ... + 8300083.

It is an arithmetic number, because the mean of its divisors is an integer number (24115644).

Almost surely, 21386100000 is an apocalyptic number.

1386100000 is a gapful number since it is divisible by the number (10) 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 1386100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736326368).

1386100000 is an abundant number, since it is smaller than the sum of its proper divisors (2086552736).

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

1386100000 is an frugal number, since it uses more digits than its factorization.

1386100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1386100000 is about 37230.3639520217. The cubic root of 1386100000 is about 1114.9742934142.

Adding to 1386100000 its reverse (16831), we get a palindrome (1386116831).

The spelling of 1386100000 in words is "one billion, three hundred eighty-six million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 125 160 166 167 200 250 332 334 400 415 500 625 664 668 800 830 835 1000 1250 1328 1336 1660 1670 2000 2075 2500 2656 2672 3125 3320 3340 4000 4150 4175 5000 5344 6250 6640 6680 8300 8350 10000 10375 12500 13280 13360 13861 16600 16700 20000 20750 20875 25000 26720 27722 33200 33400 41500 41750 50000 51875 55444 66400 66800 69305 83000 83500 100000 103750 104375 110888 133600 138610 166000 167000 207500 208750 221776 259375 277220 332000 334000 346525 415000 417500 443552 518750 521875 554440 668000 693050 830000 835000 1037500 1043750 1108880 1386100 1660000 1670000 1732625 2075000 2087500 2217760 2772200 3340000 3465250 4150000 4175000 5544400 6930500 8300000 8350000 8663125 11088800 13861000 16700000 17326250 27722000 34652500 43315625 55444000 69305000 86631250 138610000 173262500 277220000 346525000 693050000 1386100000