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106033992 = 2334418083
BaseRepresentation
bin1100101000111…
…11001101001000
321101112002021220
412110133031020
5204121041432
614304402040
72425163001
oct624371510
9241462256
10106033992
11549429a9
122b616320
1318c7710c
14101221a8
15949772c
hex651f348

106033992 has 16 divisors (see below), whose sum is σ = 265085040. Its totient is φ = 35344656.

The previous prime is 106033987. The next prime is 106034011. The reversal of 106033992 is 299330601.

It is a super-2 number, since 2×1060339922 = 22486414918912128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 2209018 + ... + 2209065.

It is an arithmetic number, because the mean of its divisors is an integer number (16567815).

Almost surely, 2106033992 is an apocalyptic number.

106033992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106033992 is an abundant number, since it is smaller than the sum of its proper divisors (159051048).

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

106033992 is a wasteful number, since it uses less digits than its factorization.

106033992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418092 (or 4418088 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 106033992 is about 10297.2808061158. The cubic root of 106033992 is about 473.3129321807.

The spelling of 106033992 in words is "one hundred six million, thirty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 4418083 8836166 13254249 17672332 26508498 35344664 53016996 106033992