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106140744 = 23321474177
BaseRepresentation
bin1100101001110…
…01010001001000
321101201111201200
412110321101020
5204133000434
614310544200
72426116143
oct624712110
9241644650
10106140744
1154a06126
122b668060
1318cb3898
141014d05a
1594b9199
hex6539448

106140744 has 24 divisors (see below), whose sum is σ = 287464710. Its totient is φ = 35380224.

The previous prime is 106140739. The next prime is 106140757. The reversal of 106140744 is 447041601.

106140744 is a `hidden beast` number, since 1 + 0 + 614 + 0 + 7 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73307844 + 32832900 = 8562^2 + 5730^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1061407442 = 22531715073747072, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 737017 + ... + 737160.

Almost surely, 2106140744 is an apocalyptic number.

It is an amenable number.

106140744 is an abundant number, since it is smaller than the sum of its proper divisors (181323966).

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

106140744 is a wasteful number, since it uses less digits than its factorization.

106140744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474189 (or 1474182 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 106140744 is about 10302.4630064854. The cubic root of 106140744 is about 473.4717182274.

The spelling of 106140744 in words is "one hundred six million, one hundred forty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1474177 2948354 4422531 5896708 8845062 11793416 13267593 17690124 26535186 35380248 53070372 106140744