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106712472 = 2334446353
BaseRepresentation
bin1100101110001…
…00110110011000
321102210112222210
412113010312120
5204304244342
614331115120
72434020036
oct627046630
9242715883
10106712472
1155266729
122b8a2aa0
1319153b99
141025b556
15957d79c
hex65c4d98

106712472 has 16 divisors (see below), whose sum is σ = 266781240. Its totient is φ = 35570816.

The previous prime is 106712471. The next prime is 106712521. The reversal of 106712472 is 274217601.

It is a super-3 number, since 3×1067124723 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106712471) 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 3 ways as a sum of consecutive naturals, for example, 2223153 + ... + 2223200.

Almost surely, 2106712472 is an apocalyptic number.

106712472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106712472 is an abundant number, since it is smaller than the sum of its proper divisors (160068768).

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

106712472 is a wasteful number, since it uses less digits than its factorization.

106712472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4446362 (or 4446358 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 106712472 is about 10330.1728930352. The cubic root of 106712472 is about 474.3203161685.

The spelling of 106712472 in words is "one hundred six million, seven hundred twelve thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 4446353 8892706 13339059 17785412 26678118 35570824 53356236 106712472