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252030 = 23531271
BaseRepresentation
bin111101100001111110
3110210201110
4331201332
531031110
65222450
72066532
oct754176
9423643
10252030
11162399
12101a26
138a93c
1467bc2
154ea20
hex3d87e

252030 has 32 divisors (see below), whose sum is σ = 626688. Its totient is φ = 64800.

The previous prime is 252029. The next prime is 252037. The reversal of 252030 is 30252.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 251997 and 252015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252037) 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, 795 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (19584).

2252030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313344).

252030 is an abundant number, since it is smaller than the sum of its proper divisors (374658).

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

252030 is a wasteful number, since it uses less digits than its factorization.

252030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312.

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 252030 is about 502.0258957464. The cubic root of 252030 is about 63.1661023690.

Adding to 252030 its reverse (30252), we get a palindrome (282282).

The spelling of 252030 in words is "two hundred fifty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 271 310 465 542 813 930 1355 1626 2710 4065 8130 8401 16802 25203 42005 50406 84010 126015 252030