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11290640 = 2451071319
BaseRepresentation
bin101011000100…
…100000010000
3210020121211212
4223010200100
510342300030
61041555252
7164653214
oct53044020
923217755
1011290640
116411909
123945b28
13245416a
1416dc944
15ed0595
hexac4810

11290640 has 40 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 4470656.

The previous prime is 11290637. The next prime is 11290649. The reversal of 11290640 is 4609211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11290649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7901 + ... + 9219.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 211290640 is an apocalyptic number.

11290640 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 11290640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

11290640 is an abundant number, since it is smaller than the sum of its proper divisors (15225520).

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

11290640 is a wasteful number, since it uses less digits than its factorization.

11290640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 11290640 is about 3360.1547583408. The cubic root of 11290640 is about 224.3397268439.

Adding to 11290640 its reverse (4609211), we get a palindrome (15899851).

The spelling of 11290640 in words is "eleven million, two hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1319 1712 2140 2638 4280 5276 6595 8560 10552 13190 21104 26380 52760 105520 141133 282266 564532 705665 1129064 1411330 2258128 2822660 5645320 11290640