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129051828 = 223217210869
BaseRepresentation
bin1111011000100…
…10110010110100
322222211111211100
413230102302310
5231014124303
620450010100
73124631253
oct754226264
9288744740
10129051828
1166934604
1237276930
1320976039
14131d479a
15b4e28a3
hex7b12cb4

129051828 has 36 divisors (see below), whose sum is σ = 345405060. Its totient is φ = 40486656.

The previous prime is 129051817. The next prime is 129051829. The reversal of 129051828 is 828150921.

It can be written as a sum of positive squares in 2 ways, for example, as 111260304 + 17791524 = 10548^2 + 4218^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 129051792 and 129051801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129051829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104823 + ... + 106046.

It is an arithmetic number, because the mean of its divisors is an integer number (9594585).

Almost surely, 2129051828 is an apocalyptic number.

129051828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

129051828 is an abundant number, since it is smaller than the sum of its proper divisors (216353232).

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

129051828 is a wasteful number, since it uses less digits than its factorization.

129051828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210896 (or 210891 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 129051828 is about 11360.0980629570. The cubic root of 129051828 is about 505.3450936681.

The spelling of 129051828 in words is "one hundred twenty-nine million, fifty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 210869 421738 632607 843476 1265214 1897821 2530428 3584773 3795642 7169546 7591284 10754319 14339092 21508638 32262957 43017276 64525914 129051828