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69216 = 2537103
BaseRepresentation
bin10000111001100000
310111221120
4100321200
54203331
61252240
7405540
oct207140
9114846
1069216
1148004
1234080
1325674
141b320
1515796
hex10e60

69216 has 48 divisors (see below), whose sum is σ = 209664. Its totient is φ = 19584.

The previous prime is 69203. The next prime is 69221. The reversal of 69216 is 61296.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

69216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621 + ... + 723.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

269216 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 69216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104832).

69216 is an abundant number, since it is smaller than the sum of its proper divisors (140448).

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

69216 is a wasteful number, since it uses less digits than its factorization.

69216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 69216 is about 263.0893384385. The cubic root of 69216 is about 41.0584136636.

The spelling of 69216 in words is "sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 168 206 224 309 336 412 618 672 721 824 1236 1442 1648 2163 2472 2884 3296 4326 4944 5768 8652 9888 11536 17304 23072 34608 69216