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27321216 = 273132421
BaseRepresentation
bin110100000111…
…0001110000000
31220102001122220
41220032032000
523443234331
62413331040
7451140456
oct150161600
956361586
1027321216
111447091a
129196a80
135877900
1438b29d6
1525ea296
hex1a0e380

27321216 has 96 divisors (see below), whose sum is σ = 78770520. Its totient is φ = 8386560.

The previous prime is 27321209. The next prime is 27321223. The reversal of 27321216 is 61212372.

It is an interprime number because it is at equal distance from previous prime (27321209) and next prime (27321223).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64686 + ... + 65106.

Almost surely, 227321216 is an apocalyptic number.

27321216 is a gapful number since it is divisible by the number (26) 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 27321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39385260).

27321216 is an abundant number, since it is smaller than the sum of its proper divisors (51449304).

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

27321216 is a wasteful number, since it uses less digits than its factorization.

27321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 439 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 27321216 is about 5226.9700592217. The cubic root of 27321216 is about 301.1850019604.

Adding to 27321216 its reverse (61212372), we get a palindrome (88533588).

The spelling of 27321216 in words is "twenty-seven million, three hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 421 507 624 676 832 842 1014 1248 1263 1352 1664 1684 2028 2496 2526 2704 3368 4056 4992 5052 5408 5473 6736 8112 10104 10816 10946 13472 16224 16419 20208 21632 21892 26944 32448 32838 40416 43784 53888 64896 65676 71149 80832 87568 131352 142298 161664 175136 213447 262704 284596 350272 426894 525408 569192 700544 853788 1050816 1138384 1707576 2101632 2276768 3415152 4553536 6830304 9107072 13660608 27321216