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1305240 = 233573149
BaseRepresentation
bin100111110101010011000
32110022110020
410332222120
5313231430
643550440
714044236
oct4765230
92408406
101305240
11811712
1252b420
13369141
1425d956
151abb10
hex13ea98

1305240 has 64 divisors (see below), whose sum is σ = 3996000. Its totient is φ = 340992.

The previous prime is 1305233. The next prime is 1305247. The reversal of 1305240 is 425031.

It is an interprime number because it is at equal distance from previous prime (1305233) and next prime (1305247).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8686 + ... + 8834.

21305240 is an apocalyptic number.

1305240 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 1305240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998000).

1305240 is an abundant number, since it is smaller than the sum of its proper divisors (2690760).

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

1305240 is a wasteful number, since it uses less digits than its factorization.

1305240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1305240 is about 1142.4710061967. The cubic root of 1305240 is about 109.2857301526.

The spelling of 1305240 in words is "one million, three hundred five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 149 219 292 298 365 438 447 584 596 730 745 876 894 1095 1192 1460 1490 1752 1788 2190 2235 2920 2980 3576 4380 4470 5960 8760 8940 10877 17880 21754 32631 43508 54385 65262 87016 108770 130524 163155 217540 261048 326310 435080 652620 1305240