Search a number
-
+
1386900256 = 25717596173
BaseRepresentation
bin101001010101010…
…0110101100100000
310120122200211111011
41102222212230200
510320021302011
6345342030304
746240312660
oct12252465440
93518624434
101386900256
11651961765
12328578394
13191443051
14d22a21a0
1581b58621
hex52aa6b20

1386900256 has 96 divisors (see below), whose sum is σ = 3360631680. Its totient is φ = 549851136.

The previous prime is 1386900241. The next prime is 1386900287. The reversal of 1386900256 is 6520096831.

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 15 ways as a sum of consecutive naturals, for example, 221586 + ... + 227758.

It is an arithmetic number, because the mean of its divisors is an integer number (35006580).

Almost surely, 21386900256 is an apocalyptic number.

1386900256 is a gapful number since it is divisible by the number (16) 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 1386900256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680315840).

1386900256 is an abundant number, since it is smaller than the sum of its proper divisors (1973731424).

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

1386900256 is a wasteful number, since it uses less digits than its factorization.

1386900256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 1386900256 is about 37241.1097579006. The cubic root of 1386900256 is about 1115.1888265668.

The spelling of 1386900256 in words is "one billion, three hundred eighty-six million, nine hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 59 68 112 118 119 136 224 236 238 272 413 472 476 544 826 944 952 1003 1652 1888 1904 2006 3304 3808 4012 6173 6608 7021 8024 12346 13216 14042 16048 24692 28084 32096 43211 49384 56168 86422 98768 104941 112336 172844 197536 209882 224672 345688 364207 419764 691376 728414 734587 839528 1382752 1456828 1469174 1679056 2549449 2913656 2938348 3358112 5098898 5827312 5876696 6191519 10197796 11654624 11753392 12383038 20395592 23506784 24766076 40791184 43340633 49532152 81582368 86681266 99064304 173362532 198128608 346725064 693450128 1386900256