Search a number
-
+
106460739 = 32711153623
BaseRepresentation
bin1100101100001…
…11011001000011
321102022202200100
412112013121003
5204223220424
614321453443
72431621110
oct626073103
9242282610
10106460739
1155104590
122b7a1283
1319096428
14101d3907
15952ddc9
hex6587643

106460739 has 24 divisors (see below), whose sum is σ = 191722752. Its totient is φ = 55303920.

The previous prime is 106460719. The next prime is 106460741. The reversal of 106460739 is 937064601.

106460739 is a `hidden beast` number, since 1 + 0 + 646 + 0 + 7 + 3 + 9 = 666.

It is not a de Polignac number, because 106460739 - 27 = 106460611 is a prime.

It is a super-2 number, since 2×1064607392 = 22667777896852242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106460719) 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 23 ways as a sum of consecutive naturals, for example, 76119 + ... + 77504.

It is an arithmetic number, because the mean of its divisors is an integer number (7988448).

Almost surely, 2106460739 is an apocalyptic number.

106460739 is a deficient number, since it is larger than the sum of its proper divisors (85262013).

106460739 is a wasteful number, since it uses less digits than its factorization.

106460739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153647 (or 153644 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 106460739 is about 10317.9813432667. The cubic root of 106460739 is about 473.9470511811.

The spelling of 106460739 in words is "one hundred six million, four hundred sixty thousand, seven hundred thirty-nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 153623 460869 1075361 1382607 1689853 3226083 5069559 9678249 11828971 15208677 35486913 106460739