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254132130 = 2357324697
BaseRepresentation
bin11110010010110…
…11111110100010
3122201012020202010
433021123332202
51010024212010
641114533350
76204042000
oct1711337642
9581166663
10254132130
111204a625a
1271137256
134085b455
1425a73a70
151749d620
hexf25bfa2

254132130 has 64 divisors (see below), whose sum is σ = 711302400. Its totient is φ = 58084992.

The previous prime is 254132119. The next prime is 254132189. The reversal of 254132130 is 31231452.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 254132097 and 254132106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2059 + ... + 22638.

It is an arithmetic number, because the mean of its divisors is an integer number (11114100).

Almost surely, 2254132130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355651200).

254132130 is an abundant number, since it is smaller than the sum of its proper divisors (457170270).

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

254132130 is a wasteful number, since it uses less digits than its factorization.

254132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24728 (or 24714 counting only the distinct ones).

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

The square root of 254132130 is about 15941.5221983348. The cubic root of 254132130 is about 633.4123480980.

Adding to 254132130 its reverse (31231452), we get a palindrome (285363582).

The spelling of 254132130 in words is "two hundred fifty-four million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 5145 10290 24697 49394 74091 123485 148182 172879 246970 345758 370455 518637 740910 864395 1037274 1210153 1728790 2420306 2593185 3630459 5186370 6050765 7260918 8471071 12101530 16942142 18152295 25413213 36304590 42355355 50826426 84710710 127066065 254132130