Search a number
-
+
126255105 = 3452571213
BaseRepresentation
bin1111000011010…
…00000000000001
322210120102110000
413201220000001
5224310130410
620310030213
73062102454
oct741500001
9283512400
10126255105
11652a4369
1236348369
1320207082
1412aa749b
15b13ddc0
hex7868001

126255105 has 40 divisors (see below), whose sum is σ = 227391912. Its totient is φ = 67018752.

The previous prime is 126255079. The next prime is 126255109. The reversal of 126255105 is 501552621.

126255105 is a `hidden beast` number, since 126 + 25 + 510 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15752961 + 110502144 = 3969^2 + 10512^2 .

It is not a de Polignac number, because 126255105 - 212 = 126251009 is a prime.

It is a super-2 number, since 2×1262551052 = 31880703077122050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126255109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103479 + ... + 104691.

It is a Proth number, since it is equal to 3853 ⋅ 215 + 1 and 3853 < 215.

Almost surely, 2126255105 is an apocalyptic number.

126255105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126255105 is a deficient number, since it is larger than the sum of its proper divisors (101136807).

126255105 is a wasteful number, since it uses less digits than its factorization.

126255105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 126255105 is about 11236.3296943441. The cubic root of 126255105 is about 501.6679033436.

The spelling of 126255105 in words is "one hundred twenty-six million, two hundred fifty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 257 405 771 1213 1285 2313 3639 3855 6065 6939 10917 11565 18195 20817 32751 34695 54585 98253 104085 163755 311741 491265 935223 1558705 2805669 4676115 8417007 14028345 25251021 42085035 126255105