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129054820 = 22517379573
BaseRepresentation
bin1111011000100…
…11100001100100
322222211122221011
413230103201210
5231014223240
620450032004
73124643056
oct754234144
9288748834
10129054820
1166936884
1237278604
13209774cb
14131d58d6
15b4e36ea
hex7b13864

129054820 has 24 divisors (see below), whose sum is σ = 286957944. Its totient is φ = 48585216.

The previous prime is 129054811. The next prime is 129054857. The reversal of 129054820 is 28450921.

It can be written as a sum of positive squares in 4 ways, for example, as 15163236 + 113891584 = 3894^2 + 10672^2 .

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, 189447 + ... + 190126.

It is an arithmetic number, because the mean of its divisors is an integer number (11956581).

Almost surely, 2129054820 is an apocalyptic number.

129054820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129054820 is an abundant number, since it is smaller than the sum of its proper divisors (157903124).

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

129054820 is a wasteful number, since it uses less digits than its factorization.

129054820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379599 (or 379597 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 129054820 is about 11360.2297511978. The cubic root of 129054820 is about 505.3489990262.

The spelling of 129054820 in words is "one hundred twenty-nine million, fifty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 379573 759146 1518292 1897865 3795730 6452741 7591460 12905482 25810964 32263705 64527410 129054820