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129834208 = 2574167211
BaseRepresentation
bin1111011110100…
…01110011100000
3100001022021001101
413233101303200
5231214143313
620514444144
73134400250
oct757216340
9301267041
10129834208
11673193a9
1237593654
1320b8b19a
1413359960
15b5e95dd
hex7bd1ce0

129834208 has 96 divisors (see below), whose sum is σ = 305157888. Its totient is φ = 53222400.

The previous prime is 129834197. The next prime is 129834301. The reversal of 129834208 is 802438921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615223 + ... + 615433.

It is an arithmetic number, because the mean of its divisors is an integer number (3178728).

Almost surely, 2129834208 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 129834208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152578944).

129834208 is an abundant number, since it is smaller than the sum of its proper divisors (175323680).

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

129834208 is a wasteful number, since it uses less digits than its factorization.

129834208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 129834208 is about 11394.4814713088. The cubic root of 129834208 is about 506.3642593698.

The spelling of 129834208 in words is "one hundred twenty-nine million, eight hundred thirty-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 67 82 112 134 164 211 224 268 287 328 422 469 536 574 656 844 938 1072 1148 1312 1477 1688 1876 2144 2296 2747 2954 3376 3752 4592 5494 5908 6752 7504 8651 9184 10988 11816 14137 15008 17302 19229 21976 23632 28274 34604 38458 43952 47264 56548 60557 69208 76916 87904 98959 113096 121114 138416 153832 197918 226192 242228 276832 307664 395836 452384 484456 579617 615328 791672 968912 1159234 1583344 1937824 2318468 3166688 4057319 4636936 8114638 9273872 16229276 18547744 32458552 64917104 129834208