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129788900 = 22525692281
BaseRepresentation
bin1111011110001…
…10101111100100
3100001012221220022
413233012233210
5231211221100
620513454312
73134121203
oct757065744
9301187808
10129788900
116729835a
1237571398
1320b73687
141334723a
15b5dae85
hex7bc6be4

129788900 has 36 divisors (see below), whose sum is σ = 282260580. Its totient is φ = 51801600.

The previous prime is 129788881. The next prime is 129788927. The reversal of 129788900 is 9887921.

It can be written as a sum of positive squares in 6 ways, for example, as 9535744 + 120253156 = 3088^2 + 10966^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 55760 + ... + 58040.

Almost surely, 2129788900 is an apocalyptic number.

129788900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129788900 is an abundant number, since it is smaller than the sum of its proper divisors (152471680).

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

129788900 is a wasteful number, since it uses less digits than its factorization.

129788900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 44.

The square root of 129788900 is about 11392.4931424162. The cubic root of 129788900 is about 506.3053508550.

The spelling of 129788900 in words is "one hundred twenty-nine million, seven hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 569 1138 2276 2281 2845 4562 5690 9124 11380 11405 14225 22810 28450 45620 56900 57025 114050 228100 1297889 2595778 5191556 6489445 12978890 25957780 32447225 64894450 129788900