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259020030 = 23559612399
BaseRepresentation
bin11110111000001…
…01010011111110
3200001101120200110
433130011103332
51012302120110
641411410450
76263430303
oct1734052376
9601346613
10259020030
11123234645
12728b3a26
13418801b9
14265870aa
1517b16a20
hexf7054fe

259020030 has 64 divisors (see below), whose sum is σ = 642816000. Its totient is φ = 66760320.

The previous prime is 259020023. The next prime is 259020031. The reversal of 259020030 is 30020952.

It is a junction number, because it is equal to n+sod(n) for n = 259019979 and 259020006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259020031) by changing a digit.

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, 106771 + ... + 109169.

It is an arithmetic number, because the mean of its divisors is an integer number (10044000).

Almost surely, 2259020030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259020030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321408000).

259020030 is an abundant number, since it is smaller than the sum of its proper divisors (383795970).

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

259020030 is a wasteful number, since it uses less digits than its factorization.

259020030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2529.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 259020030 is about 16094.0992292206. The cubic root of 259020030 is about 637.4475404737.

Adding to 259020030 its reverse (30020952), we get a palindrome (289040982).

The spelling of 259020030 in words is "two hundred fifty-nine million, twenty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 59 61 118 122 177 183 295 305 354 366 590 610 885 915 1770 1830 2399 3599 4798 7197 7198 10797 11995 14394 17995 21594 23990 35985 35990 53985 71970 107970 141541 146339 283082 292678 424623 439017 707705 731695 849246 878034 1415410 1463390 2123115 2195085 4246230 4390170 8634001 17268002 25902003 43170005 51804006 86340010 129510015 259020030