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129276900 = 2232523792
BaseRepresentation
bin1111011010010…
…01101111100100
3100000020221120100
413231021233210
5231043330100
620454504100
73126556404
oct755115744
9300227510
10129276900
1166a78715
1237365030
1320a2460c
1413252804
15b539400
hex7b49be4

129276900 has 81 divisors (see below), whose sum is σ = 406283241. Its totient is φ = 34382880.

The previous prime is 129276887. The next prime is 129276937. The reversal of 129276900 is 9672921.

The square root of 129276900 is 11370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 46539684 + 82737216 = 6822^2 + 9096^2 .

It is a super-2 number, since 2×1292769002 = 33425033747220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 340911 + ... + 341289.

Almost surely, 2129276900 is an apocalyptic number.

129276900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

129276900 is the 11370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129276900

129276900 is an abundant number, since it is smaller than the sum of its proper divisors (277006341).

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

129276900 is a wasteful number, since it uses less digits than its factorization.

129276900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The cubic root of 129276900 is about 505.6387043172.

Multiplying 129276900 by its sum of digits (36), we get a square (4653968400 = 682202).

129276900 divided by its sum of digits (36) gives a square (3591025 = 18952).

The spelling of 129276900 in words is "one hundred twenty-nine million, two hundred seventy-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 379 450 758 900 1137 1516 1895 2274 3411 3790 4548 5685 6822 7580 9475 11370 13644 17055 18950 22740 28425 34110 37900 56850 68220 85275 113700 143641 170550 287282 341100 430923 574564 718205 861846 1292769 1436410 1723692 2154615 2585538 2872820 3591025 4309230 5171076 6463845 7182050 8618460 10773075 12927690 14364100 21546150 25855380 32319225 43092300 64638450 129276900