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8129140 = 225537669
BaseRepresentation
bin11111000000101001110100
3120022000002021
4133000221310
54040113030
6450122524
7126045055
oct37005164
916260067
108129140
1146525a8
122880444
1318b8156
14111872c
15aa897a
hex7c0a74

8129140 has 24 divisors (see below), whose sum is σ = 17395560. Its totient is φ = 3189888.

The previous prime is 8129129. The next prime is 8129141. The reversal of 8129140 is 419218.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3489424 + 4639716 = 1868^2 + 2154^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8129141) 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 in 7 ways as a sum of consecutive naturals, for example, 2775 + ... + 4894.

It is an arithmetic number, because the mean of its divisors is an integer number (724815).

Almost surely, 28129140 is an apocalyptic number.

It is an amenable number.

8129140 is an abundant number, since it is smaller than the sum of its proper divisors (9266420).

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

8129140 is a wasteful number, since it uses less digits than its factorization.

8129140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731 (or 7729 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 8129140 is about 2851.1646743042. The cubic root of 8129140 is about 201.0704273719.

The spelling of 8129140 in words is "eight million, one hundred twenty-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 7669 15338 30676 38345 76690 153380 406457 812914 1625828 2032285 4064570 8129140