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106004574 = 23213234847
BaseRepresentation
bin1100101000110…
…00000001011110
321101110120221100
412110120001132
5204114121244
614304013530
72425011144
oct624300136
9241416840
10106004574
1154922895
122b6012a6
1318c66900
1410115594
15948db69
hex651805e

106004574 has 36 divisors (see below), whose sum is σ = 248710176. Its totient is φ = 32615856.

The previous prime is 106004551. The next prime is 106004581. The reversal of 106004574 is 475400601.

106004574 is a `hidden beast` number, since 1 + 0 + 600 + 4 + 57 + 4 = 666.

It is a super-2 number, since 2×1060045742 = 22473939417842952, 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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14382 + ... + 20465.

It is an arithmetic number, because the mean of its divisors is an integer number (6908616).

Almost surely, 2106004574 is an apocalyptic number.

106004574 is an abundant number, since it is smaller than the sum of its proper divisors (142705602).

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

106004574 is a wasteful number, since it uses less digits than its factorization.

106004574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34881 (or 34865 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 106004574 is about 10295.8522716675. The cubic root of 106004574 is about 473.2691562574.

The spelling of 106004574 in words is "one hundred six million, four thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 3042 34847 69694 104541 209082 313623 453011 627246 906022 1359033 2718066 4077099 5889143 8154198 11778286 17667429 35334858 53002287 106004574