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129712 = 2411267
BaseRepresentation
bin11111101010110000
320120221011
4133222300
513122322
62440304
71050112
oct375260
9216834
10129712
1189500
1263094
134706b
14353b2
1528677
hex1fab0

129712 has 30 divisors (see below), whose sum is σ = 280364. Its totient is φ = 58080.

The previous prime is 129707. The next prime is 129719. The reversal of 129712 is 217921.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (129719) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1903 + ... + 1969.

2129712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140182).

129712 is an abundant number, since it is smaller than the sum of its proper divisors (150652).

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

129712 is a wasteful number, since it uses less digits than its factorization.

129712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 80 counting only the distinct ones).

The product of its digits is 252, while the sum is 22.

The square root of 129712 is about 360.1555219624. The cubic root of 129712 is about 50.6205335693.

Subtracting 129712 from its reverse (217921), we obtain a square (88209 = 2972).

It can be divided in two parts, 129 and 712, that added together give a square (841 = 292).

The spelling of 129712 in words is "one hundred twenty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 67 88 121 134 176 242 268 484 536 737 968 1072 1474 1936 2948 5896 8107 11792 16214 32428 64856 129712