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263490640 = 2457267217
BaseRepresentation
bin11111011010010…
…00110001010000
3200100210201012121
433231020301100
51014423200030
642051304024
76346430200
oct1755106120
9610721177
10263490640
11125808466
12742ab014
134278702a
1426dcc400
15181eb47a
hexfb48c50

263490640 has 60 divisors (see below), whose sum is σ = 712645236. Its totient is φ = 90338304.

The previous prime is 263490629. The next prime is 263490671. The reversal of 263490640 is 46094362.

It can be written as a sum of positive squares in 2 ways, for example, as 173923344 + 89567296 = 13188^2 + 9464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 263490596 and 263490605.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29689 + ... + 37528.

Almost surely, 2263490640 is an apocalyptic number.

263490640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263490640 is an abundant number, since it is smaller than the sum of its proper divisors (449154596).

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

263490640 is a wasteful number, since it uses less digits than its factorization.

263490640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67244 (or 67231 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 263490640 is about 16232.3947709511. The cubic root of 263490640 is about 641.0940272226.

The spelling of 263490640 in words is "two hundred sixty-three million, four hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 67217 134434 268868 336085 470519 537736 672170 941038 1075472 1344340 1882076 2352595 2688680 3293633 3764152 4705190 5377360 6587266 7528304 9410380 13174532 16468165 18820760 26349064 32936330 37641520 52698128 65872660 131745320 263490640