Search a number
-
+
106676953 = 2333531297
BaseRepresentation
bin1100101101111…
…00001011011001
321102201202021021
412112330023121
5204302130303
614330242441
72433511345
oct626741331
9242652237
10106676953
1155241a79
122b886421
1319140976
141024c625
159572ebd
hex65bc2d9

106676953 has 8 divisors (see below), whose sum is σ = 107521128. Its totient is φ = 105836544.

The previous prime is 106676923. The next prime is 106676987. The reversal of 106676953 is 359676601.

It can be written as a sum of positive squares in 4 ways, for example, as 29289744 + 77387209 = 5412^2 + 8797^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106676953 is a prime.

It is a super-2 number, since 2×1066769532 = 22759944602728418, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106676923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81601 + ... + 82897.

It is an arithmetic number, because the mean of its divisors is an integer number (13440141).

Almost surely, 2106676953 is an apocalyptic number.

It is an amenable number.

106676953 is a deficient number, since it is larger than the sum of its proper divisors (844175).

106676953 is a wasteful number, since it uses less digits than its factorization.

106676953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883.

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 106676953 is about 10328.4535628525. The cubic root of 106676953 is about 474.2676848546.

The spelling of 106676953 in words is "one hundred six million, six hundred seventy-six thousand, nine hundred fifty-three".

Divisors: 1 233 353 1297 82249 302201 457841 106676953