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128127700 = 22521578161
BaseRepresentation
bin1111010001100…
…01001011010100
322221002120011101
413220301023110
5230300041300
620414115444
73114032101
oct750611324
9287076141
10128127700
1166363268
1236aabb84
132071150c
1413033aa8
15b3adb6a
hex7a312d4

128127700 has 36 divisors (see below), whose sum is σ = 279842332. Its totient is φ = 50918400.

The previous prime is 128127689. The next prime is 128127709. The reversal of 128127700 is 7721821.

It can be written as a sum of positive squares in 6 ways, for example, as 12264004 + 115863696 = 3502^2 + 10764^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128127709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11620 + ... + 19780.

Almost surely, 2128127700 is an apocalyptic number.

128127700 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 128127700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139921166).

128127700 is an abundant number, since it is smaller than the sum of its proper divisors (151714632).

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

128127700 is a wasteful number, since it uses less digits than its factorization.

128127700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8332 (or 8325 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The square root of 128127700 is about 11319.3506880916. The cubic root of 128127700 is about 504.1359600025.

The spelling of 128127700 in words is "one hundred twenty-eight million, one hundred twenty-seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 8161 15700 16322 32644 40805 81610 163220 204025 408050 816100 1281277 2562554 5125108 6406385 12812770 25625540 32031925 64063850 128127700