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13212416 = 28773101
BaseRepresentation
bin110010011001…
…101100000000
3220212021000202
4302121230000
511340244131
61151104332
7220206110
oct62315400
926767022
1013212416
117504758
1245120a8
132977ac9
141a7d040
15125ebcb
hexc99b00

13212416 has 72 divisors (see below), whose sum is σ = 30856224. Its totient is φ = 5529600.

The previous prime is 13212413. The next prime is 13212427. The reversal of 13212416 is 61421231.

It is not an unprimeable number, because it can be changed into a prime (13212413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130766 + ... + 130866.

Almost surely, 213212416 is an apocalyptic number.

13212416 is a gapful number since it is divisible by the number (16) 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 13212416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15428112).

13212416 is an abundant number, since it is smaller than the sum of its proper divisors (17643808).

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

13212416 is an equidigital number, since it uses as much as digits as its factorization.

13212416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 13212416 is about 3634.8887190669. Note that the first 3 decimals coincide. The cubic root of 13212416 is about 236.4072256708.

Adding to 13212416 its reverse (61421231), we get a palindrome (74633647).

The spelling of 13212416 in words is "thirteen million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 101 112 128 146 202 224 256 292 404 448 511 584 707 808 896 1022 1168 1414 1616 1792 2044 2336 2828 3232 4088 4672 5656 6464 7373 8176 9344 11312 12928 14746 16352 18688 22624 25856 29492 32704 45248 51611 58984 65408 90496 103222 117968 130816 180992 206444 235936 412888 471872 825776 943744 1651552 1887488 3303104 6606208 13212416