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106986744 = 2334165103
BaseRepresentation
bin1100110000001…
…11110011111000
321110022111020000
412120013303320
5204342033434
614341033000
72436241464
oct630076370
9243274200
10106986744
11554337a7
122b9b5760
131921b987
14102cd4a4
1595d4b99
hex6607cf8

106986744 has 40 divisors (see below), whose sum is σ = 299663760. Its totient is φ = 35662032.

The previous prime is 106986743. The next prime is 106986757. The reversal of 106986744 is 447689601.

It is a super-2 number, since 2×1069867442 = 22892326783443072, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106986744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106986743) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81904 + ... + 83199.

It is an arithmetic number, because the mean of its divisors is an integer number (7491594).

Almost surely, 2106986744 is an apocalyptic number.

It is an amenable number.

106986744 is an abundant number, since it is smaller than the sum of its proper divisors (192677016).

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

106986744 is a wasteful number, since it uses less digits than its factorization.

106986744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165121 (or 165108 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 106986744 is about 10343.4396599971. The cubic root of 106986744 is about 474.7263339580.

The spelling of 106986744 in words is "one hundred six million, nine hundred eighty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 165103 330206 495309 660412 990618 1320824 1485927 1981236 2971854 3962472 4457781 5943708 8915562 11887416 13373343 17831124 26746686 35662248 53493372 106986744