Search a number
-
+
106935290 = 257111131229
BaseRepresentation
bin1100101111110…
…11001111111010
321110012212122022
412113323033322
5204333412130
614335554442
72435635460
oct627731772
9243185568
10106935290
11553a9080
122b98ba22
1319201427
14102b8830
1595c47e5
hex65fb3fa

106935290 has 64 divisors (see below), whose sum is σ = 242300160. Its totient is φ = 33008640.

The previous prime is 106935251. The next prime is 106935307. The reversal of 106935290 is 92539601.

It is a super-2 number, since 2×1069352902 = 22870312494768200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 106935290.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86396 + ... + 87624.

It is an arithmetic number, because the mean of its divisors is an integer number (3785940).

Almost surely, 2106935290 is an apocalyptic number.

106935290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106935290 is an abundant number, since it is smaller than the sum of its proper divisors (135364870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106935290 is a wasteful number, since it uses less digits than its factorization.

106935290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367.

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 106935290 is about 10340.9520838267. The cubic root of 106935290 is about 474.6502170959.

The spelling of 106935290 in words is "one hundred six million, nine hundred thirty-five thousand, two hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 113 154 226 385 565 770 791 1130 1229 1243 1582 2458 2486 3955 6145 6215 7910 8603 8701 12290 12430 13519 17206 17402 27038 43015 43505 67595 86030 87010 94633 135190 138877 189266 277754 473165 694385 946330 972139 1388770 1527647 1944278 3055294 4860695 7638235 9721390 10693529 15276470 21387058 53467645 106935290