Search a number
-
+
468970236 = 223471910883
BaseRepresentation
bin11011111100111…
…110101011111100
31012200110011020000
4123330332223330
51430024021421
6114311354300
714423116110
oct3374765374
91180404200
10468970236
112207a3309
12111082990
137620c4a7
14463d9740
152b289226
hex1bf3eafc

468970236 has 120 divisors (see below), whose sum is σ = 1474999680. Its totient is φ = 126927648.

The previous prime is 468970181. The next prime is 468970247. The reversal of 468970236 is 632079864.

It is a junction number, because it is equal to n+sod(n) for n = 468970191 and 468970200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37651 + ... + 48533.

It is an arithmetic number, because the mean of its divisors is an integer number (12291664).

Almost surely, 2468970236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468970236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737499840).

468970236 is an abundant number, since it is smaller than the sum of its proper divisors (1006029444).

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

468970236 is a wasteful number, since it uses less digits than its factorization.

468970236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10925 (or 10914 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 468970236 is about 21655.7206298936. The cubic root of 468970236 is about 776.9297651218.

The spelling of 468970236 in words is "four hundred sixty-eight million, nine hundred seventy thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 81 84 108 114 126 133 162 171 189 228 252 266 324 342 378 399 513 532 567 684 756 798 1026 1134 1197 1539 1596 2052 2268 2394 3078 3591 4788 6156 7182 10773 10883 14364 21546 21766 32649 43092 43532 65298 76181 97947 130596 152362 195894 206777 228543 293841 304724 391788 413554 457086 587682 620331 685629 827108 881523 914172 1175364 1240662 1371258 1447439 1763046 1860993 2056887 2481324 2742516 2894878 3526092 3721986 4113774 4342317 5582979 5789756 6170661 7443972 8227548 8684634 11165958 12341322 13026951 16748937 17369268 22331916 24682644 26053902 33497874 39080853 52107804 66995748 78161706 117242559 156323412 234485118 468970236