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106029414 = 2326439161
BaseRepresentation
bin1100101000111…
…10000101100110
321101111212000100
412110132011212
5204120420124
614304324530
72425143441
oct624360546
9241455010
10106029414
115493a517
122b613746
1318c74cca
1410120658
1594961c9
hex651e166

106029414 has 24 divisors (see below), whose sum is σ = 230112792. Its totient is φ = 35284320.

The previous prime is 106029409. The next prime is 106029421. The reversal of 106029414 is 414920601.

106029414 is a `hidden beast` number, since 10 + 602 + 9 + 41 + 4 = 666.

It is a super-2 number, since 2×1060294142 = 22484473266366792, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6994 + ... + 16154.

It is an arithmetic number, because the mean of its divisors is an integer number (9588033).

Almost surely, 2106029414 is an apocalyptic number.

106029414 is an abundant number, since it is smaller than the sum of its proper divisors (124083378).

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

106029414 is a wasteful number, since it uses less digits than its factorization.

106029414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9812 (or 9809 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106029414 is about 10297.0585120218. The cubic root of 106029414 is about 473.3061203469.

The spelling of 106029414 in words is "one hundred six million, twenty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 643 1286 1929 3858 5787 9161 11574 18322 27483 54966 82449 164898 5890523 11781046 17671569 35343138 53014707 106029414