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11055264 = 2531119229
BaseRepresentation
bin101010001011…
…000010100000
3202210122222020
4222023002200
510312232024
61032541440
7162653043
oct52130240
922718866
1011055264
116270a90
123851880
1323a0c9c
14167ac5a
15e85979
hexa8b0a0

11055264 has 144 divisors (see below), whose sum is σ = 34564320. Its totient is φ = 3064320.

The previous prime is 11055263. The next prime is 11055277. The reversal of 11055264 is 46255011.

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

It is not an unprimeable number, because it can be changed into a prime (11055263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381202 + ... + 381230.

It is an arithmetic number, because the mean of its divisors is an integer number (240030).

Almost surely, 211055264 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 11055264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282160).

11055264 is an abundant number, since it is smaller than the sum of its proper divisors (23509056).

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

11055264 is a wasteful number, since it uses less digits than its factorization.

11055264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 11055264 is about 3324.9457138426. The cubic root of 11055264 is about 222.7698296074.

The spelling of 11055264 in words is "eleven million, fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 29 32 33 38 44 48 57 58 66 76 87 88 96 114 116 132 152 174 176 209 228 232 264 304 319 348 352 361 418 456 464 528 551 608 627 638 696 722 836 912 928 957 1056 1083 1102 1254 1276 1392 1444 1653 1672 1824 1914 2166 2204 2508 2552 2784 2888 3306 3344 3828 3971 4332 4408 5016 5104 5776 6061 6612 6688 7656 7942 8664 8816 10032 10208 10469 11552 11913 12122 13224 15312 15884 17328 17632 18183 20064 20938 23826 24244 26448 30624 31407 31768 34656 36366 41876 47652 48488 52896 62814 63536 72732 83752 95304 96976 115159 125628 127072 145464 167504 190608 193952 230318 251256 290928 335008 345477 381216 460636 502512 581856 690954 921272 1005024 1381908 1842544 2763816 3685088 5527632 11055264