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106009614 = 2336732917
BaseRepresentation
bin1100101000110…
…01010000001110
321101110211212000
412110121100032
5204114301424
614304053130
72425031634
oct624312016
9241424760
10106009614
1154926657
122b6041a6
1318c68ca9
1410117354
1594903c9
hex651940e

106009614 has 32 divisors (see below), whose sum is σ = 236007840. Its totient is φ = 35271936.

The previous prime is 106009613. The next prime is 106009621. The reversal of 106009614 is 416900601.

It is a super-2 number, since 2×1060096142 = 22476076520857992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106009613) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34884 + ... + 37800.

It is an arithmetic number, because the mean of its divisors is an integer number (7375245).

Almost surely, 2106009614 is an apocalyptic number.

106009614 is an abundant number, since it is smaller than the sum of its proper divisors (129998226).

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

106009614 is a wasteful number, since it uses less digits than its factorization.

106009614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3601 (or 3595 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106009614 is about 10296.0970275148. The cubic root of 106009614 is about 473.2766566845.

The spelling of 106009614 in words is "one hundred six million, nine thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 673 1346 2019 2917 4038 5834 6057 8751 12114 17502 18171 26253 36342 52506 78759 157518 1963141 3926282 5889423 11778846 17668269 35336538 53004807 106009614