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69252 = 22329199
BaseRepresentation
bin10000111010000100
310111222220
4100322010
54204002
61252340
7405621
oct207204
9114886
1069252
1148037
12340b0
13256a1
141b348
15157bc
hex10e84

69252 has 24 divisors (see below), whose sum is σ = 168000. Its totient is φ = 22176.

The previous prime is 69247. The next prime is 69257. The reversal of 69252 is 25296.

It is an interprime number because it is at equal distance from previous prime (69247) and next prime (69257).

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

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 69252.

It is not an unprimeable number, because it can be changed into a prime (69257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249 + ... + 447.

It is an arithmetic number, because the mean of its divisors is an integer number (7000).

269252 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 69252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84000).

69252 is an abundant number, since it is smaller than the sum of its proper divisors (98748).

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

69252 is a wasteful number, since it uses less digits than its factorization.

69252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 69252 is about 263.1577473684. The cubic root of 69252 is about 41.0655307401.

Subtracting from 69252 its reverse (25296), we obtain a triangular number (43956 = T296).

The spelling of 69252 in words is "sixty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 199 348 398 597 796 1194 2388 5771 11542 17313 23084 34626 69252