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106933970 = 25111374779
BaseRepresentation
bin1100101111110…
…10111011010010
321110012210211102
412113322323102
5204333341340
614335544402
72435631563
oct627727322
9243183742
10106933970
11553a8090
122b98b102
1319200950
14102b816a
1595c4215
hex65faed2

106933970 has 32 divisors (see below), whose sum is σ = 226134720. Its totient is φ = 35893440.

The previous prime is 106933909. The next prime is 106933987. The reversal of 106933970 is 79339601.

It is a super-2 number, since 2×1069339702 = 22869747879921800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35960 + ... + 38819.

It is an arithmetic number, because the mean of its divisors is an integer number (7066710).

Almost surely, 2106933970 is an apocalyptic number.

106933970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106933970 is an abundant number, since it is smaller than the sum of its proper divisors (119200750).

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

106933970 is a wasteful number, since it uses less digits than its factorization.

106933970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74810.

The product of its (nonzero) digits is 30618, while the sum is 38.

The square root of 106933970 is about 10340.8882597193. Note that the first 3 decimals coincide. The cubic root of 106933970 is about 474.6482640741.

It can be divided in two parts, 1069339 and 70, that multiplied together give a triangular number (74853730 = T12235).

The spelling of 106933970 in words is "one hundred six million, nine hundred thirty-three thousand, nine hundred seventy".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 286 715 1430 74779 149558 373895 747790 822569 972127 1645138 1944254 4112845 4860635 8225690 9721270 10693397 21386794 53466985 106933970