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11289012 = 2237273263
BaseRepresentation
bin101011000100…
…000110110100
3210020112121120
4223010012310
510342222022
61041543540
7164645400
oct53040664
923215546
1011289012
116410669
123944bb0
1324534b7
1416dc100
15eced5c
hexac41b4

11289012 has 72 divisors (see below), whose sum is σ = 31179456. Its totient is φ = 3169152.

The previous prime is 11289011. The next prime is 11289017. The reversal of 11289012 is 21098211.

It is a super-2 number, since 2×112890122 = 254883583872288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11289011) 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, 42793 + ... + 43055.

It is an arithmetic number, because the mean of its divisors is an integer number (433048).

Almost surely, 211289012 is an apocalyptic number.

11289012 is a gapful number since it is divisible by the number (12) 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 11289012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15589728).

11289012 is an abundant number, since it is smaller than the sum of its proper divisors (19890444).

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

11289012 is a wasteful number, since it uses less digits than its factorization.

11289012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 11289012 is about 3359.9124988606. The cubic root of 11289012 is about 224.3289437932.

The spelling of 11289012 in words is "eleven million, two hundred eighty-nine thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 263 292 294 438 511 526 588 789 876 1022 1052 1533 1578 1841 2044 3066 3156 3577 3682 5523 6132 7154 7364 10731 11046 12887 14308 19199 21462 22092 25774 38398 38661 42924 51548 57597 76796 77322 115194 134393 154644 230388 268786 403179 537572 806358 940751 1612716 1881502 2822253 3763004 5644506 11289012