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129479680 = 210511319
BaseRepresentation
bin1111011011110…
…11010000000000
3100000122020201201
413231323100000
5231121322210
620503110544
73131362531
oct755732000
9300566651
10129479680
11670a7000
1237442454
1320a959c5
14132a6688
15b57953a
hex7b7b400

129479680 has 176 divisors, whose sum is σ = 359616960. Its totient is φ = 44605440.

The previous prime is 129479639. The next prime is 129479717. The reversal of 129479680 is 86974921.

129479680 = T328 + T329 + ... + T932.

It is a tau number, because it is divible by the number of its divisors (176).

It is a self number, because there is not a number n which added to its sum of digits gives 129479680.

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 15 ways as a sum of consecutive naturals, for example, 6814711 + ... + 6814729.

Almost surely, 2129479680 is an apocalyptic number.

129479680 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 129479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179808480).

129479680 is an abundant number, since it is smaller than the sum of its proper divisors (230137280).

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

129479680 is an equidigital number, since it uses as much as digits as its factorization.

129479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 129479680 is about 11378.9138321722. The cubic root of 129479680 is about 505.9029429471.

It can be divided in two parts, 1 and 29479680, that added together give a triangular number (29479681 = T7678).

The spelling of 129479680 in words is "one hundred twenty-nine million, four hundred seventy-nine thousand, six hundred eighty".