Search a number
-
+
10466016 = 2531121753
BaseRepresentation
bin100111111011…
…001011100000
3201200201200020
4213323023200
510134403031
61012153440
7154650111
oct47731340
921621606
1010466016
1159a9300
123608880
132225a12
141566208
15dbb096
hex9fb2e0

10466016 has 144 divisors (see below), whose sum is σ = 32577552. Its totient is φ = 2928640.

The previous prime is 10466011. The next prime is 10466041. The reversal of 10466016 is 61066401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10466011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197446 + ... + 197498.

It is an arithmetic number, because the mean of its divisors is an integer number (226233).

Almost surely, 210466016 is an apocalyptic number.

10466016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10466016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16288776).

10466016 is an abundant number, since it is smaller than the sum of its proper divisors (22111536).

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

10466016 is a wasteful number, since it uses less digits than its factorization.

10466016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10466016 is about 3235.1222542587. The cubic root of 10466016 is about 218.7394578865.

The spelling of 10466016 in words is "ten million, four hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 53 66 68 88 96 102 106 121 132 136 159 176 187 204 212 242 264 272 318 352 363 374 408 424 484 528 544 561 583 636 726 748 816 848 901 968 1056 1122 1166 1272 1452 1496 1632 1696 1749 1802 1936 2057 2244 2332 2544 2703 2904 2992 3498 3604 3872 4114 4488 4664 5088 5406 5808 5984 6171 6413 6996 7208 8228 8976 9328 9911 10812 11616 12342 12826 13992 14416 16456 17952 18656 19239 19822 21624 24684 25652 27984 28832 29733 32912 38478 39644 43248 49368 51304 55968 59466 65824 76956 79288 86496 98736 102608 109021 118932 153912 158576 197472 205216 218042 237864 307824 317152 327063 436084 475728 615648 654126 872168 951456 1308252 1744336 2616504 3488672 5233008 10466016