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106942192 = 2479191039
BaseRepresentation
bin1100101111111…
…00111011110000
321110020020002221
412113330323300
5204334122232
614340050424
72435664550
oct627747360
9243206087
10106942192
1155403285
122b993a14
1319204606
14102bb160
1595c6897
hex65fcef0

106942192 has 40 divisors (see below), whose sum is σ = 237286400. Its totient is φ = 45738432.

The previous prime is 106942159. The next prime is 106942193. The reversal of 106942192 is 291249601.

It is a super-2 number, since 2×1069421922 = 22873264859529728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106942193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102409 + ... + 103447.

It is an arithmetic number, because the mean of its divisors is an integer number (5932160).

Almost surely, 2106942192 is an apocalyptic number.

It is an amenable number.

106942192 is an abundant number, since it is smaller than the sum of its proper divisors (130344208).

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

106942192 is a wasteful number, since it uses less digits than its factorization.

106942192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 106942192 is about 10341.2858001314. The cubic root of 106942192 is about 474.6604287710.

The spelling of 106942192 in words is "one hundred six million, nine hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 919 1039 1838 2078 3676 4156 6433 7273 7352 8312 12866 14546 14704 16624 25732 29092 51464 58184 102928 116368 954841 1909682 3819364 6683887 7638728 13367774 15277456 26735548 53471096 106942192