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11009440 = 255136779
BaseRepresentation
bin101001111111…
…110110100000
3202201100010001
4221333312200
510304300230
61031545344
7162402331
oct51776640
922640101
1011009440
11623a612
12382b254
132386180
141668288
15e770ca
hexa7fda0

11009440 has 96 divisors (see below), whose sum is σ = 28788480. Its totient is φ = 3953664.

The previous prime is 11009429. The next prime is 11009447. The reversal of 11009440 is 4490011.

It is a super-2 number, since 2×110094402 = 242415538227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11009447) 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, 139321 + ... + 139399.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

Almost surely, 211009440 is an apocalyptic number.

11009440 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 11009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394240).

11009440 is an abundant number, since it is smaller than the sum of its proper divisors (17779040).

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

11009440 is a wasteful number, since it uses less digits than its factorization.

11009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 11009440 is about 3318.0476187059. The cubic root of 11009440 is about 222.4616101759.

Adding to 11009440 its reverse (4490011), we get a palindrome (15499451).

It can be divided in two parts, 11009 and 440, that added together give a square (11449 = 1072).

The spelling of 11009440 in words is "eleven million, nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 67 79 80 104 130 134 158 160 208 260 268 316 335 395 416 520 536 632 670 790 871 1027 1040 1072 1264 1340 1580 1742 2054 2080 2144 2528 2680 3160 3484 4108 4355 5135 5293 5360 6320 6968 8216 8710 10270 10586 10720 12640 13936 16432 17420 20540 21172 26465 27872 32864 34840 41080 42344 52930 68809 69680 82160 84688 105860 137618 139360 164320 169376 211720 275236 344045 423440 550472 688090 846880 1100944 1376180 2201888 2752360 5504720 11009440