Search a number
-
+
21260316 = 223721119173
BaseRepresentation
bin101000100011…
…0100000011100
31111000010200010
41101012200130
520420312231
62035403220
7345465300
oct121064034
944003603
1021260316
1111001210
127153510
134534c8c
142b75d00
151cee546
hex144681c

21260316 has 144 divisors (see below), whose sum is σ = 66648960. Its totient is φ = 5201280.

The previous prime is 21260299. The next prime is 21260321. The reversal of 21260316 is 61306212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 21260292 and 21260301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122806 + ... + 122978.

It is an arithmetic number, because the mean of its divisors is an integer number (462840).

Almost surely, 221260316 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 21260316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33324480).

21260316 is an abundant number, since it is smaller than the sum of its proper divisors (45388644).

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

21260316 is a wasteful number, since it uses less digits than its factorization.

21260316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 21260316 is about 4610.8910201825. The cubic root of 21260316 is about 277.0277268531.

Adding to 21260316 its reverse (61306212), we get a palindrome (82566528).

The spelling of 21260316 in words is "twenty-one million, two hundred sixty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 49 57 66 76 77 84 98 114 132 133 147 154 173 196 209 228 231 266 294 308 346 399 418 462 519 532 539 588 627 692 798 836 924 931 1038 1078 1211 1254 1463 1596 1617 1862 1903 2076 2156 2422 2508 2793 2926 3234 3287 3633 3724 3806 4389 4844 5586 5709 5852 6468 6574 7266 7612 8477 8778 9861 10241 11172 11418 13148 13321 14532 16954 17556 19722 20482 22836 23009 25431 26642 30723 33908 36157 39444 39963 40964 46018 50862 53284 61446 69027 72314 79926 92036 93247 101724 108471 122892 138054 144628 159852 161063 186494 216942 253099 276108 279741 322126 372988 433884 483189 506198 559482 644252 759297 966378 1012396 1118964 1518594 1771693 1932756 3037188 3543386 5315079 7086772 10630158 21260316