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11014432 = 2511132983
BaseRepresentation
bin101010000001…
…000100100000
3202201120221221
4222001010200
510304430212
61032024424
7162423022
oct52010440
922646857
1011014432
116243340
123832114
132388520
14166a012
15e78807
hexa81120

11014432 has 96 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 4408320.

The previous prime is 11014429. The next prime is 11014441. The reversal of 11014432 is 23441011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132663 + ... + 132745.

It is an arithmetic number, because the mean of its divisors is an integer number (277830).

Almost surely, 211014432 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 11014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

11014432 is an abundant number, since it is smaller than the sum of its proper divisors (15657248).

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

11014432 is a wasteful number, since it uses less digits than its factorization.

11014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 11014432 is about 3318.7997830541. The cubic root of 11014432 is about 222.4952286146.

Adding to 11014432 its reverse (23441011), we get a palindrome (34455443).

The spelling of 11014432 in words is "eleven million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 29 32 44 52 58 83 88 104 116 143 166 176 208 232 286 319 332 352 377 416 464 572 638 664 754 913 928 1079 1144 1276 1328 1508 1826 2158 2288 2407 2552 2656 3016 3652 4147 4316 4576 4814 5104 6032 7304 8294 8632 9628 10208 11869 12064 14608 16588 17264 19256 23738 26477 29216 31291 33176 34528 38512 47476 52954 62582 66352 77024 94952 105908 125164 132704 189904 211816 250328 344201 379808 423632 500656 688402 847264 1001312 1376804 2753608 5507216 11014432