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11329936 = 243492029
BaseRepresentation
bin101011001110…
…000110010000
3210022121202021
4223032012100
510400024221
61042501224
7165205612
oct53160620
923277667
1011329936
116439392
123964814
132469007
14170cdb2
15edc041
hexace190

11329936 has 20 divisors (see below), whose sum is σ = 22025500. Its totient is φ = 5645952.

The previous prime is 11329933. The next prime is 11329949. The reversal of 11329936 is 63992311.

It can be written as a sum of positive squares in 2 ways, for example, as 10240000 + 1089936 = 3200^2 + 1044^2 .

It is a super-3 number, since 3×113299363 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11329933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4570 + ... + 6598.

It is an arithmetic number, because the mean of its divisors is an integer number (1101275).

Almost surely, 211329936 is an apocalyptic number.

11329936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11329936 is a deficient number, since it is larger than the sum of its proper divisors (10695564).

11329936 is a wasteful number, since it uses less digits than its factorization.

11329936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2380 counting only the distinct ones).

The product of its digits is 8748, while the sum is 34.

The square root of 11329936 is about 3365.9970291134. The cubic root of 11329936 is about 224.5996898542.

The spelling of 11329936 in words is "eleven million, three hundred twenty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 349 698 1396 2029 2792 4058 5584 8116 16232 32464 708121 1416242 2832484 5664968 11329936