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129743712 = 25327139463
BaseRepresentation
bin1111011101110…
…11101101100000
3100001010122220200
413232323231200
5231203244322
620512505200
73133542360
oct756735540
9301118820
10129743712
116726740a
123754b200
1320b58c37
14133349a0
15b5cc8ac
hex7bbbb60

129743712 has 144 divisors (see below), whose sum is σ = 425617920. Its totient is φ = 36723456.

The previous prime is 129743699. The next prime is 129743729. The reversal of 129743712 is 217347921.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 279993 + ... + 280455.

It is an arithmetic number, because the mean of its divisors is an integer number (2955680).

Almost surely, 2129743712 is an apocalyptic number.

129743712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129743712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212808960).

129743712 is an abundant number, since it is smaller than the sum of its proper divisors (295874208).

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

129743712 is a wasteful number, since it uses less digits than its factorization.

129743712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 614 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 129743712 is about 11390.5097339847. The cubic root of 129743712 is about 506.2465847049.

The spelling of 129743712 in words is "one hundred twenty-nine million, seven hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 139 144 168 224 252 278 288 336 417 463 504 556 672 834 926 973 1008 1112 1251 1389 1668 1852 1946 2016 2224 2502 2778 2919 3241 3336 3704 3892 4167 4448 5004 5556 5838 6482 6672 7408 7784 8334 8757 9723 10008 11112 11676 12964 13344 14816 15568 16668 17514 19446 20016 22224 23352 25928 29169 31136 33336 35028 38892 40032 44448 46704 51856 58338 64357 66672 70056 77784 93408 103712 116676 128714 133344 140112 155568 193071 233352 257428 280224 311136 386142 450499 466704 514856 579213 772284 900998 933408 1029712 1158426 1351497 1544568 1801996 2059424 2316852 2702994 3089136 3603992 4054491 4633704 5405988 6178272 7207984 8108982 9267408 10811976 14415968 16217964 18534816 21623952 32435928 43247904 64871856 129743712