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106683630 = 2353556121
BaseRepresentation
bin1100101101111…
…01110011101110
321102202002102120
412112331303232
5204302334010
614330333410
72433536664
oct626756356
9242662376
10106683630
1155246a99
122b88a266
1319143a11
1410250c34
159574e70
hex65bdcee

106683630 has 16 divisors (see below), whose sum is σ = 256040784. Its totient is φ = 28448960.

The previous prime is 106683611. The next prime is 106683673. The reversal of 106683630 is 36386601.

It is a super-2 number, since 2×1066836302 = 22762793819953800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 106683591 and 106683600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1778031 + ... + 1778090.

It is an arithmetic number, because the mean of its divisors is an integer number (16002549).

Almost surely, 2106683630 is an apocalyptic number.

106683630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106683630 is an abundant number, since it is smaller than the sum of its proper divisors (149357154).

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

106683630 is a wasteful number, since it uses less digits than its factorization.

106683630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556131.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 106683630 is about 10328.7767910823. The cubic root of 106683630 is about 474.2775795856.

The spelling of 106683630 in words is "one hundred six million, six hundred eighty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 3556121 7112242 10668363 17780605 21336726 35561210 53341815 106683630