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129447400 = 2352472293
BaseRepresentation
bin1111011011100…
…11010111101000
3100000120121110011
413231303113220
5231114304100
620502301304
73131166445
oct755632750
9300517404
10129447400
1167084825
1237427834
1320a840c4
14132989cc
15b56ebba
hex7b735e8

129447400 has 72 divisors (see below), whose sum is σ = 308554470. Its totient is φ = 50504320.

The previous prime is 129447397. The next prime is 129447403. The reversal of 129447400 is 4744921.

It is an interprime number because it is at equal distance from previous prime (129447397) and next prime (129447403).

It can be written as a sum of positive squares in 3 ways, for example, as 120956004 + 8491396 = 10998^2 + 2914^2 .

It is not an unprimeable number, because it can be changed into a prime (129447403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 441654 + ... + 441946.

Almost surely, 2129447400 is an apocalyptic number.

129447400 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 129447400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154277235).

129447400 is an abundant number, since it is smaller than the sum of its proper divisors (179107070).

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

129447400 is a wasteful number, since it uses less digits than its factorization.

129447400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 129447400 is about 11377.4953306956. The cubic root of 129447400 is about 505.8608979862.

The spelling of 129447400 in words is "one hundred twenty-nine million, four hundred forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 293 376 470 586 940 1172 1175 1465 1880 2209 2344 2350 2930 4418 4700 5860 7325 8836 9400 11045 11720 13771 14650 17672 22090 27542 29300 44180 55084 55225 58600 68855 88360 110168 110450 137710 220900 275420 344275 441800 550840 647237 688550 1294474 1377100 2588948 2754200 3236185 5177896 6472370 12944740 16180925 25889480 32361850 64723700 129447400