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1293225 = 35243401
BaseRepresentation
bin100111011101110101001
32102200222020
410323232221
5312340400
643415053
713664223
oct4735651
92380866
101293225
1180368a
12524489
1336382b
14259413
151a82a0
hex13bba9

1293225 has 24 divisors (see below), whose sum is σ = 2193312. Its totient is φ = 672000.

The previous prime is 1293203. The next prime is 1293233. The reversal of 1293225 is 5223921.

It is not a de Polignac number, because 1293225 - 29 = 1292713 is a prime.

It is an Ulam number.

1293225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1293195 and 1293204.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3025 + ... + 3425.

It is an arithmetic number, because the mean of its divisors is an integer number (91388).

21293225 is an apocalyptic number.

1293225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1293225 is a deficient number, since it is larger than the sum of its proper divisors (900087).

1293225 is a wasteful number, since it uses less digits than its factorization.

1293225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 452 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 1293225 is about 1137.2005100245. The cubic root of 1293225 is about 108.9493634566.

It can be divided in two parts, 129 and 3225, that multiplied together give a square (416025 = 6452).

The spelling of 1293225 in words is "one million, two hundred ninety-three thousand, two hundred twenty-five".

Divisors: 1 3 5 15 25 43 75 129 215 401 645 1075 1203 2005 3225 6015 10025 17243 30075 51729 86215 258645 431075 1293225