Search a number
-
+
263425560 = 233529591283
BaseRepresentation
bin11111011001110…
…00111000011000
3200100200101221020
433230320320120
51014414104220
642050042440
76346036356
oct1754707030
9610611836
10263425560
11125773582
1274279420
1342763518
1426db27d6
15181d7040
hexfb38e18

263425560 has 128 divisors (see below), whose sum is σ = 832032000. Its totient is φ = 66622976.

The previous prime is 263425499. The next prime is 263425567. The reversal of 263425560 is 65524362.

It is a super-2 number, since 2×2634255602 = 138786051322627200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263425567) 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, 204679 + ... + 205961.

It is an arithmetic number, because the mean of its divisors is an integer number (6500250).

Almost surely, 2263425560 is an apocalyptic number.

263425560 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 263425560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416016000).

263425560 is an abundant number, since it is smaller than the sum of its proper divisors (568606440).

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

263425560 is a wasteful number, since it uses less digits than its factorization.

263425560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 263425560 is about 16230.3900137982. The cubic root of 263425560 is about 641.0412412428.

The spelling of 263425560 in words is "two hundred sixty-three million, four hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 59 60 87 116 118 120 145 174 177 232 236 290 295 348 354 435 472 580 590 696 708 870 885 1160 1180 1283 1416 1711 1740 1770 2360 2566 3422 3480 3540 3849 5132 5133 6415 6844 7080 7698 8555 10264 10266 12830 13688 15396 17110 19245 20532 25660 25665 30792 34220 37207 38490 41064 51320 51330 68440 74414 75697 76980 102660 111621 148828 151394 153960 186035 205320 223242 227091 297656 302788 372070 378485 446484 454182 558105 605576 744140 756970 892968 908364 1116210 1135455 1488280 1513940 1816728 2195213 2232420 2270910 3027880 4390426 4464840 4541820 6585639 8780852 9083640 10976065 13171278 17561704 21952130 26342556 32928195 43904260 52685112 65856390 87808520 131712780 263425560