Search a number
-
+
106241454 = 232112112543
BaseRepresentation
bin1100101010100…
…01110110101110
321101220121212200
412111101312232
5204144211304
614313042330
72430015564
oct625216656
9241817780
10106241454
1154a74860
122b6b63a6
131901a687
1410177a34
1594d8e39
hex6551dae

106241454 has 48 divisors (see below), whose sum is σ = 252405504. Its totient is φ = 32029200.

The previous prime is 106241423. The next prime is 106241461. The reversal of 106241454 is 454142601.

It is a super-3 number, since 3×1062414543 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40507 + ... + 43049.

It is an arithmetic number, because the mean of its divisors is an integer number (5258448).

Almost surely, 2106241454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106241454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126202752).

106241454 is an abundant number, since it is smaller than the sum of its proper divisors (146164050).

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

106241454 is a wasteful number, since it uses less digits than its factorization.

106241454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 106241454 is about 10307.3495138178. The cubic root of 106241454 is about 473.6214196574.

The spelling of 106241454 in words is "one hundred six million, two hundred forty-one thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 211 422 633 1266 1899 2321 2543 3798 4642 5086 6963 7629 13926 15258 20889 22887 27973 41778 45774 55946 83919 167838 251757 503514 536573 1073146 1609719 3219438 4829157 5902303 9658314 11804606 17706909 35413818 53120727 106241454