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69828 = 22311232
BaseRepresentation
bin10001000011000100
310112210020
4101003010
54213303
61255140
7410403
oct210304
9115706
1069828
1148510
12344b0
1325a25
141b63a
1515a53
hex110c4

69828 has 36 divisors (see below), whose sum is σ = 185808. Its totient is φ = 20240.

The previous prime is 69827. The next prime is 69829. The reversal of 69828 is 82896.

It is an interprime number because it is at equal distance from previous prime (69827) and next prime (69829).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (6912) is a multiple of the sum of its prime factors (64).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 69828.

It is not an unprimeable number, because it can be changed into a prime (69821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3025 + ... + 3047.

269828 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 69828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92904).

69828 is an abundant number, since it is smaller than the sum of its proper divisors (115980).

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

69828 is a wasteful number, since it uses less digits than its factorization.

69828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 39 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 69828 is about 264.2498817407. The cubic root of 69828 is about 41.1790700240.

Multiplying 69828 by its sum of digits (33), we get a square (2304324 = 15182).

69828 divided by its sum of digits (33) gives a square (2116 = 462).

The spelling of 69828 in words is "sixty-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 529 759 1012 1058 1518 1587 2116 3036 3174 5819 6348 11638 17457 23276 34914 69828