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258731330 = 2511131729367
BaseRepresentation
bin11110110101111…
…10110101000010
3200000211220122212
433122332311002
51012213400310
641401302122
76261115514
oct1732766502
9600756585
10258731330
11123057750
1272794942
13417ab980
142650dbb4
1517aab205
hexf6bed42

258731330 has 128 divisors (see below), whose sum is σ = 600929280. Its totient is φ = 78704640.

The previous prime is 258731327. The next prime is 258731357. The reversal of 258731330 is 33137852.

It is a super-2 number, since 2×2587313302 = 133883802247137800, which contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 704807 + ... + 705173.

It is an arithmetic number, because the mean of its divisors is an integer number (4694760).

Almost surely, 2258731330 is an apocalyptic number.

258731330 is an abundant number, since it is smaller than the sum of its proper divisors (342197950).

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

258731330 is a wasteful number, since it uses less digits than its factorization.

258731330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444.

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 258731330 is about 16085.1276028510. The cubic root of 258731330 is about 637.2106224767.

The spelling of 258731330 in words is "two hundred fifty-eight million, seven hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 11 13 17 22 26 29 34 55 58 65 85 110 130 143 145 170 187 221 286 290 319 367 374 377 442 493 638 715 734 754 935 986 1105 1430 1595 1835 1870 1885 2210 2431 2465 3190 3670 3770 4037 4147 4771 4862 4930 5423 6239 6409 8074 8294 9542 10643 10846 12155 12478 12818 20185 20735 21286 23855 24310 27115 31195 32045 40370 41470 47710 52481 53215 54230 62390 64090 68629 70499 81107 104962 106430 117073 137258 138359 140998 162214 180931 234146 262405 276718 343145 352495 361862 405535 524810 585365 686290 691795 704990 811070 892177 904655 1170730 1383590 1521949 1784354 1809310 1990241 2352103 3043898 3980482 4460885 4704206 7609745 8921770 9951205 11760515 15219490 19902410 23521030 25873133 51746266 129365665 258731330