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252062130 = 23537435281
BaseRepresentation
bin11110000011000…
…10100110110010
3122120022002020110
433001202212302
51004011442010
641002322150
76150331005
oct1701424662
9576262213
10252062130
1111a312011
12704b9356
13402b51b8
142569553c
15171e0120
hexf0629b2

252062130 has 64 divisors (see below), whose sum is σ = 635868288. Its totient is φ = 63866880.

The previous prime is 252062123. The next prime is 252062131. The reversal of 252062130 is 31260252.

It is a junction number, because it is equal to n+sod(n) for n = 252062097 and 252062106.

It is not an unprimeable number, because it can be changed into a prime (252062131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45090 + ... + 50370.

It is an arithmetic number, because the mean of its divisors is an integer number (9935442).

Almost surely, 2252062130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252062130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317934144).

252062130 is an abundant number, since it is smaller than the sum of its proper divisors (383806158).

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

252062130 is a wasteful number, since it uses less digits than its factorization.

252062130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5371.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 252062130 is about 15876.4646568435. The cubic root of 252062130 is about 631.6878649475.

The spelling of 252062130 in words is "two hundred fifty-two million, sixty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 43 74 86 111 129 185 215 222 258 370 430 555 645 1110 1290 1591 3182 4773 5281 7955 9546 10562 15843 15910 23865 26405 31686 47730 52810 79215 158430 195397 227083 390794 454166 586191 681249 976985 1135415 1172382 1362498 1953970 2270830 2930955 3406245 5861910 6812490 8402071 16804142 25206213 42010355 50412426 84020710 126031065 252062130