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263125060 = 2251123149349
BaseRepresentation
bin11111010111011…
…11100001000100
3200100010010201121
433223233201010
51014330000220
642035403324
76343345312
oct1753574104
9610103647
10263125060
11125588830
1274153544
1342689803
1426d350b2
1518177eaa
hexfaef844

263125060 has 96 divisors (see below), whose sum is σ = 635040000. Its totient is φ = 90647040.

The previous prime is 263125043. The next prime is 263125061. The reversal of 263125060 is 60521362.

It is not an unprimeable number, because it can be changed into a prime (263125061) 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, 753766 + ... + 754114.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000).

Almost surely, 2263125060 is an apocalyptic number.

263125060 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 263125060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520000).

263125060 is an abundant number, since it is smaller than the sum of its proper divisors (371914940).

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

263125060 is a wasteful number, since it uses less digits than its factorization.

263125060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 263125060 is about 16221.1300469480. The cubic root of 263125060 is about 640.7973947618.

The spelling of 263125060 in words is "two hundred sixty-three million, one hundred twenty-five thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 149 220 230 253 298 349 460 506 596 698 745 1012 1265 1396 1490 1639 1745 2530 2980 3278 3427 3490 3839 5060 6556 6854 6980 7678 8027 8195 13708 15356 16054 16390 17135 19195 32108 32780 34270 37697 38390 40135 52001 68540 75394 76780 80270 88297 104002 150788 160540 176594 188485 208004 260005 353188 376970 441485 520010 572011 753940 882970 1040020 1144022 1196023 1765940 2288044 2392046 2860055 4784092 5720110 5980115 11440220 11960230 13156253 23920460 26312506 52625012 65781265 131562530 263125060