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129020200 = 2352738837
BaseRepresentation
bin1111011000010…
…11000100101000
322222202220102221
413230023010220
5231012121300
620445203424
73124440121
oct754130450
9288686387
10129020200
1166912871
1237260574
132096481a
14131c7048
15b4d831a
hex7b0b128

129020200 has 48 divisors (see below), whose sum is σ = 304115580. Its totient is φ = 50895360.

The previous prime is 129020183. The next prime is 129020207. The reversal of 129020200 is 2020921.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 98128836 + 30891364 = 9906^2 + 5558^2 .

It is not an unprimeable number, because it can be changed into a prime (129020207) 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, 10182 + ... + 19018.

Almost surely, 2129020200 is an apocalyptic number.

129020200 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 129020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152057790).

129020200 is an abundant number, since it is smaller than the sum of its proper divisors (175095380).

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

129020200 is a wasteful number, since it uses less digits than its factorization.

129020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8926 (or 8917 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 129020200 is about 11358.7059122067. The cubic root of 129020200 is about 505.3038069986.

The spelling of 129020200 in words is "one hundred twenty-nine million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 146 200 292 365 584 730 1460 1825 2920 3650 7300 8837 14600 17674 35348 44185 70696 88370 176740 220925 353480 441850 645101 883700 1290202 1767400 2580404 3225505 5160808 6451010 12902020 16127525 25804040 32255050 64510100 129020200