Search a number
-
+
106309404 = 223223128393
BaseRepresentation
bin1100101011000…
…10011100011100
321102001002002100
412111202130130
5204203400104
614314325100
72430420645
oct625423434
9242032070
10106309404
1155010913
122b729790
1319042596
14101946cc
1594ee139
hex656271c

106309404 has 36 divisors (see below), whose sum is σ = 280412496. Its totient is φ = 33895488.

The previous prime is 106309403. The next prime is 106309429. The reversal of 106309404 is 404903601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1063094042 = 22603378757670432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106309403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 63369 + ... + 65024.

It is an arithmetic number, because the mean of its divisors is an integer number (7789236).

Almost surely, 2106309404 is an apocalyptic number.

It is an amenable number.

106309404 is an abundant number, since it is smaller than the sum of its proper divisors (174103092).

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

106309404 is a wasteful number, since it uses less digits than its factorization.

106309404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128426 (or 128421 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 106309404 is about 10310.6451786491. The cubic root of 106309404 is about 473.7223712024.

The spelling of 106309404 in words is "one hundred six million, three hundred nine thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 128393 256786 385179 513572 770358 1155537 1540716 2311074 2953039 4622148 5906078 8859117 11812156 17718234 26577351 35436468 53154702 106309404