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129376080 = 24325179689
BaseRepresentation
bin1111011011000…
…01111101010000
3100000102222121200
413231201331100
5231110013310
620500551200
73130451511
oct755417520
9300388550
10129376080
1167036189
12373b2500
1320a5a7c2
141327aa08
15b5589c0
hex7b61f50

129376080 has 60 divisors (see below), whose sum is σ = 434490420. Its totient is φ = 34500096.

The previous prime is 129376067. The next prime is 129376097. The reversal of 129376080 is 80673921.

129376080 is a `hidden beast` number, since 12 + 9 + 37 + 608 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70761744 + 58614336 = 8412^2 + 7656^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89125 + ... + 90564.

It is an arithmetic number, because the mean of its divisors is an integer number (7241507).

Almost surely, 2129376080 is an apocalyptic number.

129376080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129376080 is an abundant number, since it is smaller than the sum of its proper divisors (305114340).

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

129376080 is a wasteful number, since it uses less digits than its factorization.

129376080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179708 (or 179699 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 129376080 is about 11374.3606413723. The cubic root of 129376080 is about 505.7679783213.

The spelling of 129376080 in words is "one hundred twenty-nine million, three hundred seventy-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 179689 359378 539067 718756 898445 1078134 1437512 1617201 1796890 2156268 2695335 2875024 3234402 3593780 4312536 5390670 6468804 7187560 8086005 8625072 10781340 12937608 14375120 16172010 21562680 25875216 32344020 43125360 64688040 129376080