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106069140 = 22325589273
BaseRepresentation
bin1100101001001…
…11110010010100
321101120212111200
412110213302110
5204123203030
614305232500
72425400322
oct624476224
9241525450
10106069140
1154967351
122b632730
1318c8a108
1410130d12
1594a2d60
hex6527c94

106069140 has 36 divisors (see below), whose sum is σ = 321743604. Its totient is φ = 28285056.

The previous prime is 106069111. The next prime is 106069147. The reversal of 106069140 is 41960601.

106069140 is a `hidden beast` number, since 10 + 606 + 9 + 1 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55175184 + 50893956 = 7428^2 + 7134^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1060691402 = 22501324920679200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106069147) by changing a digit.

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, 294457 + ... + 294816.

Almost surely, 2106069140 is an apocalyptic number.

106069140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106069140 is an abundant number, since it is smaller than the sum of its proper divisors (215674464).

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

106069140 is a wasteful number, since it uses less digits than its factorization.

106069140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589288 (or 589283 counting only the distinct ones).

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

The square root of 106069140 is about 10298.9873288591. The cubic root of 106069140 is about 473.3652241071.

The spelling of 106069140 in words is "one hundred six million, sixty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 589273 1178546 1767819 2357092 2946365 3535638 5303457 5892730 7071276 8839095 10606914 11785460 17678190 21213828 26517285 35356380 53034570 106069140