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129230976 = 2737131367
BaseRepresentation
bin1111011001111…
…10100010000000
3100000011121120110
413230332202000
5231040342401
620453511320
73126305460
oct754764200
9300147513
10129230976
1166a47166
1237342540
1320a09744
141323dba0
15b52a9d6
hex7b3e880

129230976 has 128 divisors (see below), whose sum is σ = 396380160. Its totient is φ = 36541440.

The previous prime is 129230963. The next prime is 129230977. The reversal of 129230976 is 679032921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129230977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351945 + ... + 352311.

It is an arithmetic number, because the mean of its divisors is an integer number (3096720).

Almost surely, 2129230976 is an apocalyptic number.

129230976 is a gapful number since it is divisible by the number (16) 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 129230976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198190080).

129230976 is an abundant number, since it is smaller than the sum of its proper divisors (267149184).

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

129230976 is a wasteful number, since it uses less digits than its factorization.

129230976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 129230976 is about 11367.9802955494. The cubic root of 129230976 is about 505.5788232865.

The spelling of 129230976 in words is "one hundred twenty-nine million, two hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 131 168 192 224 262 336 367 384 393 448 524 672 734 786 896 917 1048 1101 1344 1468 1572 1834 2096 2202 2569 2688 2751 2936 3144 3668 4192 4404 5138 5502 5872 6288 7336 7707 8384 8808 10276 11004 11744 12576 14672 15414 16768 17616 20552 22008 23488 25152 29344 30828 35232 41104 44016 46976 48077 50304 58688 61656 70464 82208 88032 96154 117376 123312 140928 144231 164416 176064 192308 246624 288462 328832 336539 352128 384616 493248 576924 673078 769232 986496 1009617 1153848 1346156 1538464 2019234 2307696 2692312 3076928 4038468 4615392 5384624 6153856 8076936 9230784 10769248 16153872 18461568 21538496 32307744 43076992 64615488 129230976