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11034540 = 22325115573
BaseRepresentation
bin101010000101…
…111110101100
3202202121112200
4222011332230
510311101130
61032301500
7162535446
oct52057654
922677480
1011034540
116257460
123841890
13239471a
141673496
15e7e760
hexa85fac

11034540 has 72 divisors (see below), whose sum is σ = 36520848. Its totient is φ = 2674560.

The previous prime is 11034511. The next prime is 11034559. The reversal of 11034540 is 4543011.

It is a happy number.

It is a super-2 number, since 2×110345402 = 243522146023200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807 + ... + 4766.

It is an arithmetic number, because the mean of its divisors is an integer number (507234).

Almost surely, 211034540 is an apocalyptic number.

11034540 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 11034540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18260424).

11034540 is an abundant number, since it is smaller than the sum of its proper divisors (25486308).

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

11034540 is a wasteful number, since it uses less digits than its factorization.

11034540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5599 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 11034540 is about 3321.8278101070. The cubic root of 11034540 is about 222.6305424244.

Adding to 11034540 its reverse (4543011), we get a palindrome (15577551).

The spelling of 11034540 in words is "eleven million, thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5573 11146 16719 22292 27865 33438 50157 55730 61303 66876 83595 100314 111460 122606 167190 183909 200628 245212 250785 306515 334380 367818 501570 551727 613030 735636 919545 1003140 1103454 1226060 1839090 2206908 2758635 3678180 5517270 11034540