Search a number
-
+
1266048 = 27327157
BaseRepresentation
bin100110101000110000000
32101022200200
410311012000
5311003143
643045200
713522050
oct4650600
92338620
101266048
11795223
12510800
13354354
1424d560
151a01d3
hex135180

1266048 has 96 divisors (see below), whose sum is σ = 4190160. Its totient is φ = 359424.

The previous prime is 1266047. The next prime is 1266059. The reversal of 1266048 is 8406621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1266043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7986 + ... + 8142.

21266048 is an apocalyptic number.

1266048 is a gapful number since it is divisible by the number (18) 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 1266048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095080).

1266048 is an abundant number, since it is smaller than the sum of its proper divisors (2924112).

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

1266048 is a wasteful number, since it uses less digits than its factorization.

1266048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1266048 is about 1125.1879842942. The cubic root of 1266048 is about 108.1807672272.

The spelling of 1266048 in words is "one million, two hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 157 168 192 224 252 288 314 336 384 448 471 504 576 628 672 896 942 1008 1099 1152 1256 1344 1413 1884 2016 2198 2512 2688 2826 3297 3768 4032 4396 5024 5652 6594 7536 8064 8792 9891 10048 11304 13188 15072 17584 19782 20096 22608 26376 30144 35168 39564 45216 52752 60288 70336 79128 90432 105504 140672 158256 180864 211008 316512 422016 633024 1266048