Search a number
-
+
106641733 = 1137594441
BaseRepresentation
bin1100101101100…
…11100101000101
321102122221221211
412112303211011
5204300013413
614325411421
72433303562
oct626634505
9242587854
10106641733
1155218570
122b869b71
131912a923
141023d869
15956783d
hex65b3945

106641733 has 16 divisors (see below), whose sum is σ = 121533120. Its totient is φ = 92707200.

The previous prime is 106641719. The next prime is 106641749. The reversal of 106641733 is 337146601.

It is not a de Polignac number, because 106641733 - 221 = 104544581 is a prime.

It is a super-2 number, since 2×1066417332 = 22744918434486578, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106641695 and 106641704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106641793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21793 + ... + 26233.

It is an arithmetic number, because the mean of its divisors is an integer number (7595820).

Almost surely, 2106641733 is an apocalyptic number.

It is an amenable number.

106641733 is a deficient number, since it is larger than the sum of its proper divisors (14891387).

106641733 is a wasteful number, since it uses less digits than its factorization.

106641733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548.

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 106641733 is about 10326.7484233906. The cubic root of 106641733 is about 474.2154850557.

The spelling of 106641733 in words is "one hundred six million, six hundred forty-one thousand, seven hundred thirty-three".

Divisors: 1 11 37 59 407 649 2183 4441 24013 48851 164317 262019 1807487 2882209 9694703 106641733