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129749550 = 235272127139
BaseRepresentation
bin1111011101111…
…01001000101110
3100001010221220220
413232331020232
5231203441200
620512552210
73133565400
oct756751056
9301127826
10129749550
1167270837
1237552666
1320b5b7a8
1413336b70
15b5ce4a0
hex7bbd22e

129749550 has 144 divisors (see below), whose sum is σ = 379975680. Its totient is φ = 29211840.

The previous prime is 129749531. The next prime is 129749551. The reversal of 129749550 is 55947921.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129749551) 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 71 ways as a sum of consecutive naturals, for example, 933381 + ... + 933519.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2129749550 is an apocalyptic number.

129749550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129749550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

129749550 is an abundant number, since it is smaller than the sum of its proper divisors (250226130).

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

129749550 is a wasteful number, since it uses less digits than its factorization.

129749550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 129749550 is about 11390.7659970697. The cubic root of 129749550 is about 506.2541776823.

The spelling of 129749550 in words is "one hundred twenty-nine million, seven hundred forty-nine thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 49 50 70 75 98 105 127 139 147 150 175 210 245 254 278 294 350 381 417 490 525 635 695 735 762 834 889 973 1050 1225 1270 1390 1470 1778 1905 1946 2085 2450 2667 2919 3175 3475 3675 3810 4170 4445 4865 5334 5838 6223 6350 6811 6950 7350 8890 9525 9730 10425 12446 13335 13622 14595 17653 18669 19050 20433 20850 22225 24325 26670 29190 31115 34055 35306 37338 40866 44450 48650 52959 62230 66675 68110 72975 88265 93345 102165 105918 123571 133350 145950 155575 170275 176530 186690 204330 247142 264795 311150 340550 370713 441325 466725 510825 529590 617855 741426 864997 882650 933450 1021650 1235710 1323975 1729994 1853565 2594991 2647950 3089275 3707130 4324985 5189982 6178550 8649970 9267825 12974955 18535650 21624925 25949910 43249850 64874775 129749550