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69888 = 283713
BaseRepresentation
bin10001000100000000
310112212110
4101010000
54214023
61255320
7410520
oct210400
9115773
1069888
1148565
1234540
1325a70
141b680
1515a93
hex11100

69888 has 72 divisors (see below), whose sum is σ = 228928. Its totient is φ = 18432.

The previous prime is 69877. The next prime is 69899. The reversal of 69888 is 88896.

It is an interprime number because it is at equal distance from previous prime (69877) and next prime (69899).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is an unprimeable number.

69888 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5370 + ... + 5382.

269888 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 69888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114464).

69888 is an abundant number, since it is smaller than the sum of its proper divisors (159040).

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

69888 is a wasteful number, since it uses less digits than its factorization.

69888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 25 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 69888 is about 264.3633862697. The cubic root of 69888 is about 41.1908610766.

It can be divided in two parts, 6988 and 8, that added together give a palindrome (6996).

The spelling of 69888 in words is "sixty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 23296 34944 69888