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106541676 = 2233986497
BaseRepresentation
bin1100101100110…
…11001001101100
321102110212201000
412112123021230
5204233313201
614323320300
72432406063
oct626331154
9242425630
10106541676
115515a37a
122b820090
13190c4217
14102151da
159547d86
hex659b26c

106541676 has 24 divisors (see below), whose sum is σ = 276219440. Its totient is φ = 35513856.

The previous prime is 106541671. The next prime is 106541717. The reversal of 106541676 is 676145601.

106541676 is a `hidden beast` number, since 106 + 541 + 6 + 7 + 6 = 666.

It is a super-2 number, since 2×1065416762 = 22702257449777952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106541676.

It is not an unprimeable number, because it can be changed into a prime (106541671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493141 + ... + 493356.

Almost surely, 2106541676 is an apocalyptic number.

It is an amenable number.

106541676 is an abundant number, since it is smaller than the sum of its proper divisors (169677764).

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

106541676 is a wasteful number, since it uses less digits than its factorization.

106541676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986510 (or 986502 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106541676 is about 10321.9027315704. The cubic root of 106541676 is about 474.0671271699.

The spelling of 106541676 in words is "one hundred six million, five hundred forty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 986497 1972994 2959491 3945988 5918982 8878473 11837964 17756946 26635419 35513892 53270838 106541676