Search a number
-
+
106754242 = 272411632
BaseRepresentation
bin1100101110011…
…11000011000010
321102212200021211
412113033003002
5204312113432
614332040334
72434252600
oct627170302
9242780254
10106754242
1155295051
122b9030aa
1319169bba
141026c870
15958ad47
hex65cf0c2

106754242 has 36 divisors (see below), whose sum is σ = 191996406. Its totient is φ = 44362080.

The previous prime is 106754239. The next prime is 106754261. The reversal of 106754242 is 242457601.

It can be written as a sum of positive squares in only one way, i.e., 105452361 + 1301881 = 10269^2 + 1141^2 .

It is a super-2 number, since 2×1067542422 = 22792936369989128, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 654853 + ... + 655015.

Almost surely, 2106754242 is an apocalyptic number.

106754242 is a deficient number, since it is larger than the sum of its proper divisors (85242164).

106754242 is an equidigital number, since it uses as much as digits as its factorization.

106754242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 106754242 is about 10332.1944426148. The cubic root of 106754242 is about 474.3821951435.

The spelling of 106754242 in words is "one hundred six million, seven hundred fifty-four thousand, two hundred forty-two".

Divisors: 1 2 7 14 41 49 82 98 163 287 326 574 1141 2009 2282 4018 6683 7987 13366 15974 26569 46781 53138 93562 185983 327467 371966 654934 1089329 1301881 2178658 2603762 7625303 15250606 53377121 106754242