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128694825 = 3452721297
BaseRepresentation
bin1111010101110…
…11101000101001
322222011101010000
413222323220221
5230421213300
620434213213
73121613400
oct752735051
9288141100
10128694825
1166710366
1237124209
132087c6ac
1413140637
15b471c00
hex7abba29

128694825 has 90 divisors (see below), whose sum is σ = 277521486. Its totient is φ = 58786560.

The previous prime is 128694823. The next prime is 128694827. The reversal of 128694825 is 528496821.

It is an interprime number because it is at equal distance from previous prime (128694823) and next prime (128694827).

It can be written as a sum of positive squares in 3 ways, for example, as 42928704 + 85766121 = 6552^2 + 9261^2 .

It is not a de Polignac number, because 128694825 - 21 = 128694823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (128694823) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 98577 + ... + 99873.

Almost surely, 2128694825 is an apocalyptic number.

128694825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128694825 is an abundant number, since it is smaller than the sum of its proper divisors (148826661).

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

128694825 is a wasteful number, since it uses less digits than its factorization.

128694825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1312 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 128694825 is about 11344.3741563825. The cubic root of 128694825 is about 504.8786755567.

The spelling of 128694825 in words is "one hundred twenty-eight million, six hundred ninety-four thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1297 1323 1575 2025 2205 2835 3675 3891 3969 4725 6485 6615 9079 11025 11673 14175 19455 19845 27237 32425 33075 35019 45395 58365 63553 81711 97275 99225 105057 136185 175095 190659 226975 245133 291825 317765 408555 525285 571977 680925 735399 875475 953295 1225665 1588825 1715931 2042775 2626425 2859885 3676995 4766475 5147793 6128325 8579655 14299425 18384975 25738965 42898275 128694825