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106426332 = 22335318593
BaseRepresentation
bin1100101011111…
…10111111011100
321102021000111000
412111332333130
5204221120312
614321030300
72431415565
oct625767734
9242230430
10106426332
1155090751
122b785390
131908387c
14101c516c
159523adc
hex657efdc

106426332 has 48 divisors (see below), whose sum is σ = 281141280. Its totient is φ = 34804224.

The previous prime is 106426321. The next prime is 106426343. The reversal of 106426332 is 233624601.

106426332 is a `hidden beast` number, since 10 + 642 + 6 + 3 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106426321) and next prime (106426343).

It is a super-2 number, since 2×1064263322 = 22653128285948448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106426296 and 106426305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3573 + ... + 15020.

It is an arithmetic number, because the mean of its divisors is an integer number (5857110).

Almost surely, 2106426332 is an apocalyptic number.

106426332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106426332 is an abundant number, since it is smaller than the sum of its proper divisors (174714948).

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

106426332 is a wasteful number, since it uses less digits than its factorization.

106426332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18659 (or 18651 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 106426332 is about 10316.3138765743. The cubic root of 106426332 is about 473.8959874324.

The spelling of 106426332 in words is "one hundred six million, four hundred twenty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 18593 37186 55779 74372 111558 167337 223116 334674 502011 669348 985429 1004022 1970858 2008044 2956287 3941716 5912574 8868861 11825148 17737722 26606583 35475444 53213166 106426332