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1305096 = 233134789
BaseRepresentation
bin100111110101000001000
32110022020220
410332220020
5313230341
643550040
714043642
oct4765010
92408226
101305096
118115a1
1252b320
13369060
1425d892
151aba66
hex13ea08

1305096 has 64 divisors (see below), whose sum is σ = 3628800. Its totient is φ = 388608.

The previous prime is 1305061. The next prime is 1305097. The reversal of 1305096 is 6905031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14620 + ... + 14708.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

21305096 is an apocalyptic number.

1305096 is the 611-st nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814400).

1305096 is an abundant number, since it is smaller than the sum of its proper divisors (2323704).

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

1305096 is a wasteful number, since it uses less digits than its factorization.

1305096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 1305096 is about 1142.4079831654. The cubic root of 1305096 is about 109.2817110389.

The spelling of 1305096 in words is "one million, three hundred five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 78 89 94 104 141 156 178 188 267 282 312 356 376 534 564 611 712 1068 1128 1157 1222 1833 2136 2314 2444 3471 3666 4183 4628 4888 6942 7332 8366 9256 12549 13884 14664 16732 25098 27768 33464 50196 54379 100392 108758 163137 217516 326274 435032 652548 1305096