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125334 = 23311211
BaseRepresentation
bin11110100110010110
320100221000
4132212112
513002314
62404130
71031256
oct364626
9210830
10125334
1186190
1260646
1345081
1433966
1527209
hex1e996

125334 has 32 divisors (see below), whose sum is σ = 305280. Its totient is φ = 37800.

The previous prime is 125329. The next prime is 125339. The reversal of 125334 is 433521.

It is an interprime number because it is at equal distance from previous prime (125329) and next prime (125339).

It is a super-2 number, since 2×1253342 = 31417223112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489 + ... + 699.

It is an arithmetic number, because the mean of its divisors is an integer number (9540).

2125334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152640).

125334 is an abundant number, since it is smaller than the sum of its proper divisors (179946).

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

125334 is a wasteful number, since it uses less digits than its factorization.

125334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 125334 is about 354.0254228159. The cubic root of 125334 is about 50.0444937278.

Subtracting from 125334 its sum of digits (18), we obtain a square (125316 = 3542).

Adding to 125334 its reverse (433521), we get a palindrome (558855).

The spelling of 125334 in words is "one hundred twenty-five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 211 297 422 594 633 1266 1899 2321 3798 4642 5697 6963 11394 13926 20889 41778 62667 125334