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11031040 = 29531139
BaseRepresentation
bin101010000101…
…001000000000
3202202102202001
4222011020000
510310443130
61032233344
7162522316
oct52051000
922672661
1011031040
116254869
12383b854
132392c57
1416720b6
15e7d6ca
hexa85200

11031040 has 80 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 4239360.

The previous prime is 11031023. The next prime is 11031047. The reversal of 11031040 is 4013011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (11031047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79291 + ... + 79429.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 211031040 is an apocalyptic number.

11031040 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 11031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

11031040 is an abundant number, since it is smaller than the sum of its proper divisors (16467200).

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

11031040 is an equidigital number, since it uses as much as digits as its factorization.

11031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11031040 is about 3321.3009499291. The cubic root of 11031040 is about 222.6070015156.

Adding to 11031040 its reverse (4013011), we get a palindrome (15044051).

The spelling of 11031040 in words is "eleven million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 139 155 160 248 256 278 310 320 496 512 556 620 640 695 992 1112 1240 1280 1390 1984 2224 2480 2560 2780 3968 4309 4448 4960 5560 7936 8618 8896 9920 11120 15872 17236 17792 19840 21545 22240 34472 35584 39680 43090 44480 68944 71168 79360 86180 88960 137888 172360 177920 275776 344720 355840 551552 689440 1103104 1378880 2206208 2757760 5515520 11031040