Search a number
-
+
21463904 = 2571131281
BaseRepresentation
bin101000111100…
…0001101100000
31111101110221102
41101320031200
520443321104
62044013532
7350303660
oct121701540
944343842
1021463904
1111130170
1272312a8
1345a6847
142bca1a0
151d3ea1e
hex1478360

21463904 has 96 divisors (see below), whose sum is σ = 54577152. Its totient is φ = 8064000.

The previous prime is 21463847. The next prime is 21463909. The reversal of 21463904 is 40936412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21463909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76244 + ... + 76524.

It is an arithmetic number, because the mean of its divisors is an integer number (568512).

Almost surely, 221463904 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 21463904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27288576).

21463904 is an abundant number, since it is smaller than the sum of its proper divisors (33113248).

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

21463904 is a wasteful number, since it uses less digits than its factorization.

21463904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 21463904 is about 4632.9152809004. The cubic root of 21463904 is about 277.9091882880.

The spelling of 21463904 in words is "twenty-one million, four hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 217 224 248 281 308 341 352 434 496 562 616 682 868 992 1124 1232 1364 1736 1967 2248 2387 2464 2728 3091 3472 3934 4496 4774 5456 6182 6944 7868 8711 8992 9548 10912 12364 15736 17422 19096 21637 24728 31472 34844 38192 43274 49456 60977 62944 69688 76384 86548 95821 98912 121954 139376 173096 191642 243908 278752 346192 383284 487816 670747 692384 766568 975632 1341494 1533136 1951264 2682988 3066272 5365976 10731952 21463904