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263164104 = 23327297769
BaseRepresentation
bin11111010111110…
…01000011001000
3200100012010021200
433223321003020
51014332222404
642040304200
76343600200
oct1753710310
9610163250
10263164104
111256050a5
1274172060
13426a1508
1426d45400
1518184839
hexfaf90c8

263164104 has 144 divisors (see below), whose sum is σ = 838737900. Its totient is φ = 74317824.

The previous prime is 263164081. The next prime is 263164123. The reversal of 263164104 is 401461362.

It can be written as a sum of positive squares in 2 ways, for example, as 261468900 + 1695204 = 16170^2 + 1302^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 341832 + ... + 342600.

Almost surely, 2263164104 is an apocalyptic number.

263164104 is a gapful number since it is divisible by the number (24) 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 263164104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419368950).

263164104 is an abundant number, since it is smaller than the sum of its proper divisors (575573796).

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

263164104 is a wasteful number, since it uses less digits than its factorization.

263164104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 263164104 is about 16222.3334942911. Note that the first 3 decimals coincide. The cubic root of 263164104 is about 640.8290882539.

The spelling of 263164104 in words is "two hundred sixty-three million, one hundred sixty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 97 98 126 147 168 194 196 252 291 294 388 392 441 504 582 588 679 769 776 873 882 1164 1176 1358 1538 1746 1764 2037 2307 2328 2716 3076 3492 3528 4074 4614 4753 5383 5432 6111 6152 6921 6984 8148 9228 9506 10766 12222 13842 14259 16149 16296 18456 19012 21532 24444 27684 28518 32298 37681 38024 42777 43064 48447 48888 55368 57036 64596 74593 75362 85554 96894 113043 114072 129192 149186 150724 171108 193788 223779 226086 298372 301448 339129 342216 387576 447558 452172 522151 596744 671337 678258 895116 904344 1044302 1342674 1356516 1566453 1790232 2088604 2685348 2713032 3132906 3655057 4177208 4699359 5370696 6265812 7310114 9398718 10965171 12531624 14620228 18797436 21930342 29240456 32895513 37594872 43860684 65791026 87721368 131582052 263164104