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129332480 = 285791279
BaseRepresentation
bin1111011010101…
…11010100000000
3100000100202210212
413231113110000
5231102114410
620500013252
73130210424
oct755272400
9300322725
10129332480
1167006452
1237391228
1320a439c4
1413268b84
15b54ab05
hex7b57500

129332480 has 72 divisors (see below), whose sum is σ = 313958400. Its totient is φ = 51038208.

The previous prime is 129332459. The next prime is 129332507. The reversal of 129332480 is 84233921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 100481 + ... + 101759.

Almost surely, 2129332480 is an apocalyptic number.

129332480 is a gapful number since it is divisible by the number (10) 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 129332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156979200).

129332480 is an abundant number, since it is smaller than the sum of its proper divisors (184625920).

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

129332480 is an equidigital number, since it uses as much as digits as its factorization.

129332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 129332480 is about 11372.4438886283. The cubic root of 129332480 is about 505.7111569948.

The spelling of 129332480 in words is "one hundred twenty-nine million, three hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 256 316 320 395 632 640 790 1264 1279 1280 1580 2528 2558 3160 5056 5116 6320 6395 10112 10232 12640 12790 20224 20464 25280 25580 40928 50560 51160 81856 101041 101120 102320 163712 202082 204640 327424 404164 409280 505205 808328 818560 1010410 1616656 1637120 2020820 3233312 4041640 6466624 8083280 12933248 16166560 25866496 32333120 64666240 129332480