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261063840 = 2535543883
BaseRepresentation
bin11111000111110…
…00010010100000
3200012020102021010
433203320102200
51013313020330
641523300520
76320002032
oct1743702240
9605212233
10261063840
11124400144
127351a740
134211755b
1426959c52
1517dbc3b0
hexf8f84a0

261063840 has 48 divisors (see below), whose sum is σ = 822352608. Its totient is φ = 69616896.

The previous prime is 261063833. The next prime is 261063871. The reversal of 261063840 is 48360162.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 261063798 and 261063807.

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 7 ways as a sum of consecutive naturals, for example, 271462 + ... + 272421.

It is an arithmetic number, because the mean of its divisors is an integer number (17132346).

Almost surely, 2261063840 is an apocalyptic number.

261063840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261063840 is an abundant number, since it is smaller than the sum of its proper divisors (561288768).

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

261063840 is a wasteful number, since it uses less digits than its factorization.

261063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543901 (or 543893 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 261063840 is about 16157.4700989976. The cubic root of 261063840 is about 639.1197534185.

The spelling of 261063840 in words is "two hundred sixty-one million, sixty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 543883 1087766 1631649 2175532 2719415 3263298 4351064 5438830 6526596 8158245 8702128 10877660 13053192 16316490 17404256 21755320 26106384 32632980 43510640 52212768 65265960 87021280 130531920 261063840