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11012704 = 251959307
BaseRepresentation
bin101010000000…
…101001100000
3202201111120221
4222000221200
510304401304
61032012424
7162415003
oct52005140
922644527
1011012704
11624200a
123831114
1323877c1
14166953a
15e78054
hexa80a60

11012704 has 48 divisors (see below), whose sum is σ = 23284800. Its totient is φ = 5111424.

The previous prime is 11012693. The next prime is 11012713. The reversal of 11012704 is 40721011.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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, 35719 + ... + 36025.

It is an arithmetic number, because the mean of its divisors is an integer number (485100).

Almost surely, 211012704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11012704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642400).

11012704 is an abundant number, since it is smaller than the sum of its proper divisors (12272096).

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

11012704 is a wasteful number, since it uses less digits than its factorization.

11012704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 11012704 is about 3318.5394377648. The cubic root of 11012704 is about 222.4835926125.

Adding to 11012704 its reverse (40721011), we get a palindrome (51733715).

The spelling of 11012704 in words is "eleven million, twelve thousand, seven hundred four".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 307 472 608 614 944 1121 1228 1888 2242 2456 4484 4912 5833 8968 9824 11666 17936 18113 23332 35872 36226 46664 72452 93328 144904 186656 289808 344147 579616 688294 1376588 2753176 5506352 11012704