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263322640 = 2457470219
BaseRepresentation
bin11111011000111…
…11110000010000
3200100111011202101
433230133300100
51014402311030
642043530144
76345130330
oct1754376020
9610434671
10263322640
11125703219
1274229954
1342728719
1426d870c0
15181b67ca
hexfb1fc10

263322640 has 40 divisors (see below), whose sum is σ = 699687360. Its totient is φ = 90281856.

The previous prime is 263322629. The next prime is 263322641. The reversal of 263322640 is 46223362.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 263322599 and 263322608.

It is not an unprimeable number, because it can be changed into a prime (263322641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234550 + ... + 235669.

It is an arithmetic number, because the mean of its divisors is an integer number (17492184).

Almost surely, 2263322640 is an apocalyptic number.

263322640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263322640 is an abundant number, since it is smaller than the sum of its proper divisors (436364720).

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

263322640 is a wasteful number, since it uses less digits than its factorization.

263322640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470239 (or 470233 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 263322640 is about 16227.2191086458. The cubic root of 263322640 is about 640.9577457274.

The spelling of 263322640 in words is "two hundred sixty-three million, three hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 470219 940438 1880876 2351095 3291533 3761752 4702190 6583066 7523504 9404380 13166132 16457665 18808760 26332264 32915330 37617520 52664528 65830660 131661320 263322640