Search a number
-
+
1092682240 = 2951332833
BaseRepresentation
bin100000100100001…
…0000001000000000
32211011002000020121
41001020100020000
54214211312430
6300231550024
736035434336
oct10110201000
92734060217
101092682240
11510877381
12265b2b314
131454bac50
14a5195b56
1565ddca7a
hex41210200

1092682240 has 80 divisors (see below), whose sum is σ = 2821491288. Its totient is φ = 403439616.

The previous prime is 1092682237. The next prime is 1092682243. The reversal of 1092682240 is 422862901.

It is an interprime number because it is at equal distance from previous prime (1092682237) and next prime (1092682243).

It can be written as a sum of positive squares in 4 ways, for example, as 758231296 + 334450944 = 27536^2 + 18288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10926822402 = 2387908955222835200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1092682196 and 1092682205.

It is not an unprimeable number, because it can be changed into a prime (1092682243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16864 + ... + 49696.

Almost surely, 21092682240 is an apocalyptic number.

1092682240 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 1092682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410745644).

1092682240 is an abundant number, since it is smaller than the sum of its proper divisors (1728809048).

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

1092682240 is an equidigital number, since it uses as much as digits as its factorization.

1092682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32869 (or 32853 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 1092682240 is about 33055.7444327003. The cubic root of 1092682240 is about 1029.9859362770.

The spelling of 1092682240 in words is "one billion, ninety-two million, six hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 4160 6656 8320 16640 32833 33280 65666 131332 164165 262664 328330 426829 525328 656660 853658 1050656 1313320 1707316 2101312 2134145 2626640 3414632 4202624 4268290 5253280 6829264 8405248 8536580 10506560 13658528 16810496 17073160 21013120 27317056 34146320 42026240 54634112 68292640 84052480 109268224 136585280 218536448 273170560 546341120 1092682240