Search a number
-
+
106605414 = 23223257501
BaseRepresentation
bin1100101101010…
…10101101100110
321102121010010200
412112222231212
5204242333124
614324531330
72433062646
oct626525546
9242533120
10106605414
11551a3253
122b850b46
1319117236
1410230526
15955bbc9
hex65aab66

106605414 has 24 divisors (see below), whose sum is σ = 241021872. Its totient is φ = 33990000.

The previous prime is 106605397. The next prime is 106605427. The reversal of 106605414 is 414506601.

106605414 is a `hidden beast` number, since 10 + 6 + 605 + 41 + 4 = 666.

It is a super-2 number, since 2×1066054142 = 22729428588222792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128337 + ... + 129164.

It is an arithmetic number, because the mean of its divisors is an integer number (10042578).

Almost surely, 2106605414 is an apocalyptic number.

106605414 is an abundant number, since it is smaller than the sum of its proper divisors (134416458).

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

106605414 is a wasteful number, since it uses less digits than its factorization.

106605414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257532 (or 257529 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106605414 is about 10324.9897820773. The cubic root of 106605414 is about 474.1616443834.

The spelling of 106605414 in words is "one hundred six million, six hundred five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 257501 515002 772503 1545006 2317509 4635018 5922523 11845046 17767569 35535138 53302707 106605414