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20461608 = 23321773229
BaseRepresentation
bin100111000001…
…1100000101000
31102111120001100
41032003200220
520214232413
62010321400
7335630556
oct116034050
942446040
1020461608
1110606122
126a29260
13431557b
142a08bd6
151be2a73
hex1383828

20461608 has 96 divisors (see below), whose sum is σ = 59740200. Its totient is φ = 6303744.

The previous prime is 20461607. The next prime is 20461619. The reversal of 20461608 is 80616402.

It can be written as a sum of positive squares in 4 ways, for example, as 20412324 + 49284 = 4518^2 + 222^2 .

It is not an unprimeable number, because it can be changed into a prime (20461603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89238 + ... + 89466.

Almost surely, 220461608 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 20461608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29870100).

20461608 is an abundant number, since it is smaller than the sum of its proper divisors (39278592).

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

20461608 is a wasteful number, since it uses less digits than its factorization.

20461608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 20461608 is about 4523.4508950579. The cubic root of 20461608 is about 273.5142262162.

The spelling of 20461608 in words is "twenty million, four hundred sixty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 73 102 136 146 153 204 219 229 292 306 408 438 458 584 612 657 687 876 916 1224 1241 1314 1374 1752 1832 2061 2482 2628 2748 3723 3893 4122 4964 5256 5496 7446 7786 8244 9928 11169 11679 14892 15572 16488 16717 22338 23358 29784 31144 33434 35037 44676 46716 50151 66868 70074 89352 93432 100302 133736 140148 150453 200604 280296 284189 300906 401208 568378 601812 852567 1136756 1203624 1705134 2273512 2557701 3410268 5115402 6820536 10230804 20461608