Search a number
-
+
106141452 = 22335325057
BaseRepresentation
bin1100101001110…
…01011100001100
321101201112200220
412110321130030
5204133011302
614310551340
72426121204
oct624713414
9241645626
10106141452
1154a0670a
122b668550
1318cb3cc1
141014d404
1594b94bc
hex653970c

106141452 has 24 divisors (see below), whose sum is σ = 248374896. Its totient is φ = 35278848.

The previous prime is 106141417. The next prime is 106141507. The reversal of 106141452 is 254141601.

It is a happy number.

It is a super-2 number, since 2×1061414522 = 22532015665336608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8293 + ... + 16764.

It is an arithmetic number, because the mean of its divisors is an integer number (10348954).

Almost surely, 2106141452 is an apocalyptic number.

106141452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106141452 is an abundant number, since it is smaller than the sum of its proper divisors (142233444).

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

106141452 is a wasteful number, since it uses less digits than its factorization.

106141452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25417 (or 25415 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106141452 is about 10302.4973671436. The cubic root of 106141452 is about 473.4727709718.

The spelling of 106141452 in words is "one hundred six million, one hundred forty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 353 706 1059 1412 2118 4236 25057 50114 75171 100228 150342 300684 8845121 17690242 26535363 35380484 53070726 106141452