Base | Representation |
---|---|
bin | 1100101111000… |
… | …10110101001010 |
3 | 21110000210110000 |
4 | 12113202311022 |
5 | 204322212044 |
6 | 14333503430 |
7 | 2435041050 |
oct | 627426512 |
9 | 243023400 |
10 | 106835274 |
11 | 5533aa17 |
12 | 2b941b76 |
13 | 19197a50 |
14 | 102901d0 |
15 | 95a4d69 |
hex | 65e2d4a |
106835274 has 80 divisors (see below), whose sum is σ = 294674688. Its totient is φ = 28172448.
The previous prime is 106835251. The next prime is 106835279. The reversal of 106835274 is 472538601.
It is a super-2 number, since 2×1068352742 = 22827551541310152, which contains 22 as substring.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (106835279) 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, 11119 + ... + 18365.
Almost surely, 2106835274 is an apocalyptic number.
106835274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 106835274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147337344).
106835274 is an abundant number, since it is smaller than the sum of its proper divisors (187839414).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106835274 is a wasteful number, since it uses less digits than its factorization.
106835274 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7281 (or 7272 counting only the distinct ones).
The product of its (nonzero) digits is 40320, while the sum is 36.
The square root of 106835274 is about 10336.1150341896. The cubic root of 106835274 is about 474.5021916745.
The spelling of 106835274 in words is "one hundred six million, eight hundred thirty-five thousand, two hundred seventy-four".
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