Search a number
-
+
258034660 = 22513992441
BaseRepresentation
bin11110110000101…
…00101111100100
3122222112112000021
433120110233210
51012024102120
641334324524
76252154432
oct1730245744
9588475007
10258034660
11122721294
12724b9744
13415c6840
14263abd52
15179beaaa
hexf614be4

258034660 has 24 divisors (see below), whose sum is σ = 583555896. Its totient is φ = 95274240.

The previous prime is 258034639. The next prime is 258034703. The reversal of 258034660 is 66430852.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28451556 + 229583104 = 5334^2 + 15152^2 .

It is a super-2 number, since 2×2580346602 = 133163771522631200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495961 + ... + 496480.

It is an arithmetic number, because the mean of its divisors is an integer number (24314829).

Almost surely, 2258034660 is an apocalyptic number.

258034660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258034660 is an abundant number, since it is smaller than the sum of its proper divisors (325521236).

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

258034660 is a wasteful number, since it uses less digits than its factorization.

258034660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992463 (or 992461 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 258034660 is about 16063.4572866491. The cubic root of 258034660 is about 636.6381823768.

The spelling of 258034660 in words is "two hundred fifty-eight million, thirty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 992441 1984882 3969764 4962205 9924410 12901733 19848820 25803466 51606932 64508665 129017330 258034660