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716142105 = 32572324781
BaseRepresentation
bin101010101011110…
…111011000011001
31211220112210021200
4222223313120121
52431313021410
6155021224413
723514051600
oct5253673031
91756483250
10716142105
11338275188
1217ba02109
13b54a1833
146b17aa37
1542d103c0
hex2aaf7619

716142105 has 36 divisors (see below), whose sum is σ = 1443980772. Its totient is φ = 327378240.

The previous prime is 716142101. The next prime is 716142107. The reversal of 716142105 is 501241617.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 209351961 + 506790144 = 14469^2 + 22512^2 .

It is not a de Polignac number, because 716142105 - 22 = 716142101 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (716142101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 160186 + ... + 164595.

It is an arithmetic number, because the mean of its divisors is an integer number (40110577).

Almost surely, 2716142105 is an apocalyptic number.

It is an amenable number.

716142105 is an abundant number, since it is smaller than the sum of its proper divisors (727838667).

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

716142105 is a wasteful number, since it uses less digits than its factorization.

716142105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324806 (or 324796 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 716142105 is about 26760.8315453762. The cubic root of 716142105 is about 894.6772678234.

The spelling of 716142105 in words is "seven hundred sixteen million, one hundred forty-two thousand, one hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 324781 974343 1623905 2273467 2923029 4871715 6820401 11367335 14615145 15914269 20461203 34102005 47742807 79571345 102306015 143228421 238714035 716142105