Search a number
-
+
263401020 = 223251463339
BaseRepresentation
bin11111011001100…
…10111000111100
3200100122011021100
433230302320330
51014412313040
642045333100
76345605001
oct1754627074
9610564240
10263401020
111257570a3
1274267190
13427552bc
1426da78a8
15181ceb30
hexfb32e3c

263401020 has 36 divisors (see below), whose sum is σ = 798983640. Its totient is φ = 70240224.

The previous prime is 263401001. The next prime is 263401027. The reversal of 263401020 is 20104362.

It is a happy number.

263401020 is a `hidden beast` number, since 2 + 634 + 0 + 10 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 263400984 and 263401002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263401027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 731490 + ... + 731849.

It is an arithmetic number, because the mean of its divisors is an integer number (22193990).

Almost surely, 2263401020 is an apocalyptic number.

263401020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263401020 is an abundant number, since it is smaller than the sum of its proper divisors (535582620).

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

263401020 is a wasteful number, since it uses less digits than its factorization.

263401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463354 (or 1463349 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 263401020 is about 16229.6340069639. The cubic root of 263401020 is about 641.0213347455.

Adding to 263401020 its reverse (20104362), we get a palindrome (283505382).

The spelling of 263401020 in words is "two hundred sixty-three million, four hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1463339 2926678 4390017 5853356 7316695 8780034 13170051 14633390 17560068 21950085 26340102 29266780 43900170 52680204 65850255 87800340 131700510 263401020