Search a number
-
+
468004240 = 24511531823
BaseRepresentation
bin11011111001010…
…010110110010000
31012121122002010101
4123321102312100
51424302113430
6114234542144
714411653564
oct3371226620
91177562111
10468004240
112201a3570
12110897954
1375c618b2
14462276a4
152b147dca
hex1be52d90

468004240 has 40 divisors (see below), whose sum is σ = 1187031168. Its totient is φ = 170183040.

The previous prime is 468004183. The next prime is 468004267. The reversal of 468004240 is 42400864.

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

It is a junction number, because it is equal to n+sod(n) for n = 468004199 and 468004208.

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, 265032 + ... + 266791.

Almost surely, 2468004240 is an apocalyptic number.

468004240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468004240 is an abundant number, since it is smaller than the sum of its proper divisors (719026928).

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

468004240 is a wasteful number, since it uses less digits than its factorization.

468004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531847 (or 531841 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 468004240 is about 21633.4056495966. The cubic root of 468004240 is about 776.3959523230.

It can be divided in two parts, 46800 and 4240, that added together give a triangular number (51040 = T319).

The spelling of 468004240 in words is "four hundred sixty-eight million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 531823 1063646 2127292 2659115 4254584 5318230 5850053 8509168 10636460 11700106 21272920 23400212 29250265 42545840 46800424 58500530 93600848 117001060 234002120 468004240