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258603030 = 2355723661
BaseRepresentation
bin11110110100111…
…11100000010110
3200000121101200000
433122133200112
51012200244110
641354432130
76260042460
oct1732374026
9600541600
10258603030
11122a7a314
1272732646
134176545a
14264b9130
1517a831c0
hexf69f816

258603030 has 192 divisors, whose sum is σ = 832785408. Its totient is φ = 56453760.

The previous prime is 258603001. The next prime is 258603043. The reversal of 258603030 is 30306852.

258603030 is a `hidden beast` number, since 2 + 58 + 603 + 0 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 258602985 and 258603003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390900 + ... + 391560.

It is an arithmetic number, because the mean of its divisors is an integer number (4337424).

Almost surely, 2258603030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258603030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416392704).

258603030 is an abundant number, since it is smaller than the sum of its proper divisors (574182378).

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

258603030 is a wasteful number, since it uses less digits than its factorization.

258603030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 258603030 is about 16081.1389522011. The cubic root of 258603030 is about 637.1052781412.

Adding to 258603030 its reverse (30306852), we get a palindrome (288909882).

The spelling of 258603030 in words is "two hundred fifty-eight million, six hundred three thousand, thirty".