Search a number
-
+
106713255 = 35111314937
BaseRepresentation
bin1100101110001…
…01000010100111
321102210121001210
412113011002213
5204304311010
614331122503
72434022235
oct627050247
9242717053
10106713255
1155267280
122b8a3433
131915434c
141025b955
15957db20
hex65c50a7

106713255 has 32 divisors (see below), whose sum is σ = 187723008. Its totient is φ = 51334400.

The previous prime is 106713239. The next prime is 106713259. The reversal of 106713255 is 552317601.

It is not a de Polignac number, because 106713255 - 24 = 106713239 is a prime.

It is a super-2 number, since 2×1067132552 = 22775437585390050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106713259) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19147 + ... + 24083.

It is an arithmetic number, because the mean of its divisors is an integer number (5866344).

Almost surely, 2106713255 is an apocalyptic number.

106713255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106713255 is a deficient number, since it is larger than the sum of its proper divisors (81009753).

106713255 is a wasteful number, since it uses less digits than its factorization.

106713255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5087.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 106713255 is about 10330.2107916538. The cubic root of 106713255 is about 474.3214762701.

The spelling of 106713255 in words is "one hundred six million, seven hundred thirteen thousand, two hundred fifty-five".

Divisors: 1 3 5 11 15 33 55 131 165 393 655 1441 1965 4323 4937 7205 14811 21615 24685 54307 74055 162921 271535 646747 814605 1940241 3233735 7114217 9701205 21342651 35571085 106713255