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129982068 = 2232171631303
BaseRepresentation
bin1111011111101…
…01111001110100
3100001120202212200
413233311321310
5231233411233
620521544500
73135554316
oct757657164
9301522780
10129982068
116740a4a7
1237645130
1320c10588
14133977b6
15b628313
hex7bf5e74

129982068 has 72 divisors (see below), whose sum is σ = 350296128. Its totient is φ = 40497408.

The previous prime is 129982063. The next prime is 129982081. The reversal of 129982068 is 860289921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129982063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99105 + ... + 100407.

It is an arithmetic number, because the mean of its divisors is an integer number (4865224).

Almost surely, 2129982068 is an apocalyptic number.

129982068 is a gapful number since it is divisible by the number (18) 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 129982068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175148064).

129982068 is an abundant number, since it is smaller than the sum of its proper divisors (220314060).

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

129982068 is a wasteful number, since it uses less digits than its factorization.

129982068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 129982068 is about 11400.9678536517. The cubic root of 129982068 is about 506.5564085641.

The spelling of 129982068 in words is "one hundred twenty-nine million, nine hundred eighty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 163 204 306 326 489 612 652 978 1303 1467 1956 2606 2771 2934 3909 5212 5542 5868 7818 8313 11084 11727 15636 16626 22151 23454 24939 33252 44302 46908 49878 66453 88604 99756 132906 199359 212389 265812 398718 424778 637167 797436 849556 1274334 1911501 2548668 3610613 3823002 7221226 7646004 10831839 14442452 21663678 32495517 43327356 64991034 129982068