Search a number
-
+
258696870 = 23523216301
BaseRepresentation
bin11110110101101…
…10011010100110
3200000210011101120
433122312122212
51012211244440
641400434410
76260613165
oct1732663246
9600704346
10258696870
11123033873
1272778a06
1341799093
14265013dc
1517aa0dd0
hexf6b66a6

258696870 has 48 divisors (see below), whose sum is σ = 649080432. Its totient is φ = 65982400.

The previous prime is 258696863. The next prime is 258696877. The reversal of 258696870 is 78696852.

It is an interprime number because it is at equal distance from previous prime (258696863) and next prime (258696877).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258696877) 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 23 ways as a sum of consecutive naturals, for example, 7720 + ... + 24020.

It is an arithmetic number, because the mean of its divisors is an integer number (13522509).

Almost surely, 2258696870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258696870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324540216).

258696870 is an abundant number, since it is smaller than the sum of its proper divisors (390383562).

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

258696870 is a wasteful number, since it uses less digits than its factorization.

258696870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16357 (or 16334 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 258696870 is about 16084.0563913461. The cubic root of 258696870 is about 637.1823315426.

The spelling of 258696870 in words is "two hundred fifty-eight million, six hundred ninety-six thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 529 690 1058 1587 2645 3174 5290 7935 15870 16301 32602 48903 81505 97806 163010 244515 374923 489030 749846 1124769 1874615 2249538 3749230 5623845 8623229 11247690 17246458 25869687 43116145 51739374 86232290 129348435 258696870