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258911130 = 235291392141
BaseRepresentation
bin11110110111010…
…10101110011010
3200001012001022010
433123222232122
51012240124010
641405210350
76262464642
oct1733525632
9601161263
10258911130
1112316a845
12728609b6
134184276a
1426559522
1517ae4620
hexf6eab9a

258911130 has 64 divisors (see below), whose sum is σ = 647740800. Its totient is φ = 66151680.

The previous prime is 258911129. The next prime is 258911131. The reversal of 258911130 is 31119852.

It is an interprime number because it is at equal distance from previous prime (258911129) and next prime (258911131).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (258911131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119860 + ... + 122000.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2258911130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258911130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

258911130 is an abundant number, since it is smaller than the sum of its proper divisors (388829670).

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

258911130 is a wasteful number, since it uses less digits than its factorization.

258911130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319.

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 258911130 is about 16090.7156459867. The cubic root of 258911130 is about 637.3581937568.

The spelling of 258911130 in words is "two hundred fifty-eight million, nine hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 139 145 174 278 290 417 435 695 834 870 1390 2085 2141 4031 4170 4282 6423 8062 10705 12093 12846 20155 21410 24186 32115 40310 60465 62089 64230 120930 124178 186267 297599 310445 372534 595198 620890 892797 931335 1487995 1785594 1862670 2975990 4463985 8630371 8927970 17260742 25891113 43151855 51782226 86303710 129455565 258911130