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11324616 = 2332953307
BaseRepresentation
bin101011001100…
…110011001000
3210022100110020
4223030303020
510344341431
61042420440
7165154242
oct53146310
923270406
1011324616
116435396
123961720
132466774
14170b092
15eda696
hexacccc8

11324616 has 64 divisors (see below), whose sum is σ = 29937600. Its totient is φ = 3564288.

The previous prime is 11324611. The next prime is 11324617. The reversal of 11324616 is 61642311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11324611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36735 + ... + 37041.

It is an arithmetic number, because the mean of its divisors is an integer number (467775).

Almost surely, 211324616 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 11324616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968800).

11324616 is an abundant number, since it is smaller than the sum of its proper divisors (18612984).

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

11324616 is a wasteful number, since it uses less digits than its factorization.

11324616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 394 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 11324616 is about 3365.2066801313. The cubic root of 11324616 is about 224.5645305671.

Adding to 11324616 its reverse (61642311), we get a palindrome (72966927).

The spelling of 11324616 in words is "eleven million, three hundred twenty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 53 58 87 106 116 159 174 212 232 307 318 348 424 614 636 696 921 1228 1272 1537 1842 2456 3074 3684 4611 6148 7368 8903 9222 12296 16271 17806 18444 26709 32542 35612 36888 48813 53418 65084 71224 97626 106836 130168 195252 213672 390504 471859 943718 1415577 1887436 2831154 3774872 5662308 11324616