Search a number
-
+
20466216 = 2333412311
BaseRepresentation
bin100111000010…
…0101000101000
31102111210101000
41032010220220
520214404331
62010355000
7335650161
oct116045050
942453330
1020466216
1110609631
126a2ba60
1343176b4
142a0a768
151be40e6
hex1384a28

20466216 has 64 divisors (see below), whose sum is σ = 58262400. Its totient is φ = 6652800.

The previous prime is 20466179. The next prime is 20466227. The reversal of 20466216 is 61266402.

It is a happy number.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20466216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7701 + ... + 10011.

It is an arithmetic number, because the mean of its divisors is an integer number (910350).

Almost surely, 220466216 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 20466216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29131200).

20466216 is an abundant number, since it is smaller than the sum of its proper divisors (37796184).

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

20466216 is a wasteful number, since it uses less digits than its factorization.

20466216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20466216 is about 4523.9602120266. The cubic root of 20466216 is about 273.5347566808.

The spelling of 20466216 in words is "twenty million, four hundred sixty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2311 2952 4428 4622 6933 8856 9244 13866 18488 20799 27732 41598 55464 62397 83196 94751 124794 166392 189502 249588 284253 379004 499176 568506 758008 852759 1137012 1705518 2274024 2558277 3411036 5116554 6822072 10233108 20466216