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295016130 = 2325172961109
BaseRepresentation
bin10001100101011…
…001011011000010
3202120010101001100
4101211121123002
51101011004010
645135115230
710211411223
oct2145313302
9676111040
10295016130
1114158aa92
1282972b16
1349174476
142b27724a
151ad772c0
hex119596c2

295016130 has 192 divisors, whose sum is σ = 861775200. Its totient is φ = 69672960.

The previous prime is 295016129. The next prime is 295016131. The reversal of 295016130 is 31610592.

295016130 is a `hidden beast` number, since 29 + 501 + 6 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (295016129) and next prime (295016131).

It can be written as a sum of positive squares in 16 ways, for example, as 22667121 + 272349009 = 4761^2 + 16503^2 .

It is a junction number, because it is equal to n+sod(n) for n = 295016094 and 295016103.

It is not an unprimeable number, because it can be changed into a prime (295016131) 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 95 ways as a sum of consecutive naturals, for example, 2706516 + ... + 2706624.

Almost surely, 2295016130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 295016130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430887600).

295016130 is an abundant number, since it is smaller than the sum of its proper divisors (566759070).

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

295016130 is a wasteful number, since it uses less digits than its factorization.

295016130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 295016130 is about 17176.0335933533. The cubic root of 295016130 is about 665.7051558566.

The spelling of 295016130 in words is "two hundred ninety-five million, sixteen thousand, one hundred thirty".