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11013432 = 23331113131
BaseRepresentation
bin101010000000…
…110100111000
3202201112120220
4222000310320
510304412212
61032020040
7162420063
oct52006470
922645526
1011013432
116242611
123831620
132387c31
1416698da
15e7838c
hexa80d38

11013432 has 64 divisors (see below), whose sum is σ = 28892160. Its totient is φ = 3494400.

The previous prime is 11013427. The next prime is 11013439. The reversal of 11013432 is 23431011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11013439) 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, 84007 + ... + 84137.

It is an arithmetic number, because the mean of its divisors is an integer number (451440).

Almost surely, 211013432 is an apocalyptic number.

11013432 is a gapful number since it is divisible by the number (12) 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 11013432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446080).

11013432 is an abundant number, since it is smaller than the sum of its proper divisors (17878728).

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

11013432 is a wasteful number, since it uses less digits than its factorization.

11013432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11013432 is about 3318.6491227606. The cubic root of 11013432 is about 222.4884949654.

Adding to 11013432 its reverse (23431011), we get a palindrome (34444443).

The spelling of 11013432 in words is "eleven million, thirteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 113 124 131 186 226 248 262 339 372 393 452 524 678 744 786 904 1048 1356 1572 2712 3144 3503 4061 7006 8122 10509 12183 14012 14803 16244 21018 24366 28024 29606 32488 42036 44409 48732 59212 84072 88818 97464 118424 177636 355272 458893 917786 1376679 1835572 2753358 3671144 5506716 11013432