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106769024 = 27834133
BaseRepresentation
bin1100101110100…
…10101010000000
321102220102120022
412113102222000
5204313102044
614332233012
72434343645
oct627225200
9242812508
10106769024
11552a516a
122b90b768
131917384b
1410273dcc
1595903ee
hex65d2a80

106769024 has 16 divisors (see below), whose sum is σ = 212704170. Its totient is φ = 53384448.

The previous prime is 106769021. The next prime is 106769081. The reversal of 106769024 is 420967601.

It can be written as a sum of positive squares in only one way, i.e., 87759424 + 19009600 = 9368^2 + 4360^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1067690242 = 22799248971825152, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106769021) 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 as a sum of consecutive naturals, namely, 416939 + ... + 417194.

Almost surely, 2106769024 is an apocalyptic number.

It is an amenable number.

106769024 is a deficient number, since it is larger than the sum of its proper divisors (105935146).

106769024 is an frugal number, since it uses more digits than its factorization.

106769024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834147 (or 834135 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 106769024 is about 10332.9097547593. The cubic root of 106769024 is about 474.4040896489.

The spelling of 106769024 in words is "one hundred six million, seven hundred sixty-nine thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 834133 1668266 3336532 6673064 13346128 26692256 53384512 106769024