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106782737 = 418331379
BaseRepresentation
bin1100101110101…
…10000000010001
321102221010101012
412113112000101
5204314021422
614332420305
72434431635
oct627260021
9242833335
10106782737
11553044a6
122b917695
1319179b69
1410278dc5
1595944e2
hex65d6011

106782737 has 8 divisors (see below), whose sum is σ = 110708640. Its totient is φ = 102919840.

The previous prime is 106782733. The next prime is 106782769. The reversal of 106782737 is 737287601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106782737 - 22 = 106782733 is a prime.

It is a super-2 number, since 2×1067827372 = 22805105842422338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106782694 and 106782703.

It is not an unprimeable number, because it can be changed into a prime (106782733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12287 + ... + 19092.

It is an arithmetic number, because the mean of its divisors is an integer number (13838580).

Almost surely, 2106782737 is an apocalyptic number.

It is an amenable number.

106782737 is a deficient number, since it is larger than the sum of its proper divisors (3925903).

106782737 is an equidigital number, since it uses as much as digits as its factorization.

106782737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31503.

The product of its (nonzero) digits is 98784, while the sum is 41.

The square root of 106782737 is about 10333.5732929128. The cubic root of 106782737 is about 474.4243989875.

The spelling of 106782737 in words is "one hundred six million, seven hundred eighty-two thousand, seven hundred thirty-seven".

Divisors: 1 41 83 3403 31379 1286539 2604457 106782737