Search a number
-
+
261022720 = 210577283
BaseRepresentation
bin11111000111011…
…10010000000000
3200012011022212011
433203232100000
51013310211340
641522342304
76316441120
oct1743562000
9605138764
10261022720
11124382262
12734ba994
134210191a
1426948c80
1517db00ea
hexf8ee400

261022720 has 88 divisors (see below), whose sum is σ = 715696704. Its totient is φ = 89481216.

The previous prime is 261022717. The next prime is 261022733. The reversal of 261022720 is 27220162.

261022720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 261022691 and 261022700.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32199 + ... + 39481.

Almost surely, 2261022720 is an apocalyptic number.

261022720 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 261022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357848352).

261022720 is an abundant number, since it is smaller than the sum of its proper divisors (454673984).

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

261022720 is an equidigital number, since it uses as much as digits as its factorization.

261022720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315 (or 7297 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 261022720 is about 16156.1975724488. The cubic root of 261022720 is about 639.0861958741.

Adding to 261022720 its reverse (27220162), we get a palindrome (288242882).

The spelling of 261022720 in words is "two hundred sixty-one million, twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 3584 4480 5120 7168 7283 8960 14566 17920 29132 35840 36415 50981 58264 72830 101962 116528 145660 203924 233056 254905 291320 407848 466112 509810 582640 815696 932224 1019620 1165280 1631392 1864448 2039240 2330560 3262784 3728896 4078480 4661120 6525568 7457792 8156960 9322240 13051136 16313920 18644480 26102272 32627840 37288960 52204544 65255680 130511360 261022720