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69920 = 2551923
BaseRepresentation
bin10001000100100000
310112220122
4101010200
54214140
61255412
7410564
oct210440
9115818
1069920
1148594
1234568
1325a96
141b6a4
1515ab5
hex11120

69920 has 48 divisors (see below), whose sum is σ = 181440. Its totient is φ = 25344.

The previous prime is 69911. The next prime is 69929. The reversal of 69920 is 2996.

It is an interprime number because it is at equal distance from previous prime (69911) and next prime (69929).

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 69920.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 69920.

It is not an unprimeable number, because it can be changed into a prime (69929) by changing a digit.

69920 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, 3029 + ... + 3051.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

269920 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 69920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

69920 is an abundant number, since it is smaller than the sum of its proper divisors (111520).

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

69920 is a wasteful number, since it uses less digits than its factorization.

69920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 69920 is about 264.4239020966. The cubic root of 69920 is about 41.1971468788.

It can be divided in two parts, 69 and 920, that added together give a palindrome (989).

The spelling of 69920 in words is "sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 76 80 92 95 115 152 160 184 190 230 304 368 380 437 460 608 736 760 874 920 1520 1748 1840 2185 3040 3496 3680 4370 6992 8740 13984 17480 34960 69920