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128936025 = 32527572
BaseRepresentation
bin1111010111101…
…10100001011001
322222121121222100
413223312201121
5231001423100
620443314013
73123636531
oct753664131
9288547870
10128936025
11668655a9
123721b909
132093540a
14131a44c1
15b4bd400
hex7af6859

128936025 has 27 divisors (see below), whose sum is σ = 231244221. Its totient is φ = 68675040.

The previous prime is 128936011. The next prime is 128936039. The reversal of 128936025 is 520639821.

The square root of 128936025 is 11355.

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

It is an interprime number because it is at equal distance from previous prime (128936011) and next prime (128936039).

It can be written as a sum of positive squares in 4 ways, for example, as 68121 + 128867904 = 261^2 + 11352^2 .

It is not a de Polignac number, because 128936025 - 27 = 128935897 is a prime.

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, 169947 + ... + 170703.

Almost surely, 2128936025 is an apocalyptic number.

128936025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

128936025 is the 11355-th square number.

128936025 is the 5678-th centered octagonal number.

It is an amenable number.

128936025 is a deficient number, since it is larger than the sum of its proper divisors (102308196).

128936025 is an frugal number, since it uses more digits than its factorization.

128936025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 128936025 is about 505.1938934572.

Multiplying 128936025 by its sum of digits (36), we get a square (4641696900 = 681302).

The spelling of 128936025 in words is "one hundred twenty-eight million, nine hundred thirty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 757 2271 3785 6813 11355 18925 34065 56775 170325 573049 1719147 2865245 5157441 8595735 14326225 25787205 42978675 128936025