Search a number
-
+
106673841 = 36414383
BaseRepresentation
bin1100101101110…
…11011010110001
321102201121000000
412112323122301
5204302030331
614330220213
72433466311
oct626733261
9242647000
10106673841
115523a6aa
122b884669
131913c421
141024b441
1595720e6
hex65bb6b1

106673841 has 56 divisors (see below), whose sum is σ = 169668576. Its totient is φ = 66951360.

The previous prime is 106673837. The next prime is 106673851. The reversal of 106673841 is 148376601.

It is not a de Polignac number, because 106673841 - 22 = 106673837 is a prime.

It is a super-2 number, since 2×1066738412 = 22758616707386562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106673796 and 106673805.

It is not an unprimeable number, because it can be changed into a prime (106673851) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1285186 + ... + 1285268.

It is an arithmetic number, because the mean of its divisors is an integer number (3029796).

Almost surely, 2106673841 is an apocalyptic number.

It is an amenable number.

106673841 is a deficient number, since it is larger than the sum of its proper divisors (62994735).

106673841 is an frugal number, since it uses more digits than its factorization.

106673841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 106673841 is about 10328.3029099654. The cubic root of 106673841 is about 474.2630730012.

The spelling of 106673841 in words is "one hundred six million, six hundred seventy-three thousand, eight hundred forty-one".

Divisors: 1 3 9 27 41 43 81 83 123 129 243 249 369 387 729 747 1107 1161 1763 2241 3321 3403 3483 3569 5289 6723 9963 10209 10449 10707 15867 20169 29889 30627 31347 32121 47601 60507 91881 96363 142803 146329 275643 289089 428409 438987 826929 867267 1285227 1316961 2480787 2601801 3950883 11852649 35557947 106673841