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245384160 = 25357210433
BaseRepresentation
bin11101010000001…
…00001111100000
3122002201210210020
432220010033200
51000304243120
640203233440
76036505500
oct1650041740
9562653706
10245384160
1111657082a
126a218880
133bab7738
1424837a00
1516821640
hexea043e0

245384160 has 144 divisors (see below), whose sum is σ = 899243856. Its totient is φ = 56082432.

The previous prime is 245384159. The next prime is 245384177. The reversal of 245384160 is 61483542.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18304 + ... + 28736.

It is an arithmetic number, because the mean of its divisors is an integer number (6244749).

Almost surely, 2245384160 is an apocalyptic number.

245384160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245384160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449621928).

245384160 is an abundant number, since it is smaller than the sum of its proper divisors (653859696).

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

245384160 is a wasteful number, since it uses less digits than its factorization.

245384160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465 (or 10450 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 245384160 is about 15664.7425768826. The cubic root of 245384160 is about 626.0593532852.

The spelling of 245384160 in words is "two hundred forty-five million, three hundred eighty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 10433 11760 20866 23520 31299 41732 52165 62598 73031 83464 104330 125196 146062 156495 166928 208660 219093 250392 292124 312990 333856 365155 417320 438186 500784 511217 584248 625980 730310 834640 876372 1001568 1022434 1095465 1168496 1251960 1460620 1533651 1669280 1752744 2044868 2190930 2336992 2503920 2556085 2921240 3067302 3505488 4089736 4381860 5007840 5112170 5842480 6134604 7010976 7668255 8179472 8763720 10224340 11684960 12269208 15336510 16358944 17527440 20448680 24538416 30673020 35054880 40897360 49076832 61346040 81794720 122692080 245384160