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1266288 = 243233137
BaseRepresentation
bin100110101001001110000
32101100000120
410311021300
5311010123
643050240
713522542
oct4651160
92340016
101266288
11795421
12510980
133544aa
1424d692
151a02e3
hex135270

1266288 has 80 divisors (see below), whose sum is σ = 3618816. Its totient is φ = 380160.

The previous prime is 1266281. The next prime is 1266301. The reversal of 1266288 is 8826621.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (9216) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266281) 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, 34206 + ... + 34242.

21266288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1266288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809408).

1266288 is an abundant number, since it is smaller than the sum of its proper divisors (2352528).

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

1266288 is a wasteful number, since it uses less digits than its factorization.

1266288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 1266288 is about 1125.2946280864. The cubic root of 1266288 is about 108.1876026035.

The spelling of 1266288 in words is "one million, two hundred sixty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 37 46 48 62 69 74 92 93 111 124 138 148 184 186 222 248 276 296 368 372 444 496 552 592 713 744 851 888 1104 1147 1426 1488 1702 1776 2139 2294 2553 2852 3404 3441 4278 4588 5106 5704 6808 6882 8556 9176 10212 11408 13616 13764 17112 18352 20424 26381 27528 34224 40848 52762 55056 79143 105524 158286 211048 316572 422096 633144 1266288