Search a number
-
+
11052864 = 263231619
BaseRepresentation
bin101010001010…
…011101000000
3202210112200100
4222022131000
510312142424
61032522400
7162643044
oct52123500
922715610
1011052864
11626a1a9
123850400
13239cb74
14167a024
15e84dc9
hexa8a740

11052864 has 84 divisors (see below), whose sum is σ = 32755840. Its totient is φ = 3559680.

The previous prime is 11052841. The next prime is 11052887. The reversal of 11052864 is 46825011.

It is an interprime number because it is at equal distance from previous prime (11052841) and next prime (11052887).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17547 + ... + 18165.

Almost surely, 211052864 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 11052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16377920).

11052864 is an abundant number, since it is smaller than the sum of its proper divisors (21702976).

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

11052864 is a wasteful number, since it uses less digits than its factorization.

11052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11052864 is about 3324.5847861049. The cubic root of 11052864 is about 222.7537079877.

Adding to 11052864 its reverse (46825011), we get a palindrome (57877875).

It can be divided in two parts, 110528 and 64, that added together give a cube (110592 = 483).

The spelling of 11052864 in words is "eleven million, fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 619 744 992 1116 1238 1488 1857 1984 2232 2476 2976 3714 4464 4952 5571 5952 7428 8928 9904 11142 14856 17856 19189 19808 22284 29712 38378 39616 44568 57567 59424 76756 89136 115134 118848 153512 172701 178272 230268 307024 345402 356544 460536 614048 690804 921072 1228096 1381608 1842144 2763216 3684288 5526432 11052864