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11290048 = 267112979
BaseRepresentation
bin101011000100…
…010111000000
3210020121000221
4223010113000
510342240143
61041552424
7164651410
oct53042700
923217027
1011290048
116411420
123945714
132453b03
1416dc640
15ed02ed
hexac45c0

11290048 has 112 divisors (see below), whose sum is σ = 29260800. Its totient is φ = 4193280.

The previous prime is 11290043. The next prime is 11290049. The reversal of 11290048 is 84009211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11290043) 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, 142873 + ... + 142951.

Almost surely, 211290048 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 11290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630400).

11290048 is an abundant number, since it is smaller than the sum of its proper divisors (17970752).

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

11290048 is a wasteful number, since it uses less digits than its factorization.

11290048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 11290048 is about 3360.0666660053. The cubic root of 11290048 is about 224.3358058545.

Adding to 11290048 its reverse (84009211), we get a palindrome (95299259).

The spelling of 11290048 in words is "eleven million, two hundred ninety thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 79 88 112 116 154 158 176 203 224 232 308 316 319 352 406 448 464 553 616 632 638 704 812 869 928 1106 1232 1264 1276 1624 1738 1856 2212 2233 2291 2464 2528 2552 3248 3476 4424 4466 4582 4928 5056 5104 6083 6496 6952 8848 8932 9164 10208 12166 12992 13904 16037 17696 17864 18328 20416 24332 25201 27808 32074 35392 35728 36656 48664 50402 55616 64148 71456 73312 97328 100804 128296 142912 146624 176407 194656 201608 256592 352814 389312 403216 513184 705628 806432 1026368 1411256 1612864 2822512 5645024 11290048