Search a number
-
+
20466180 = 22325737439
BaseRepresentation
bin100111000010…
…0101000000100
31102111210022200
41032010220010
520214404210
62010354500
7335650110
oct116045004
942453280
1020466180
11106095a9
126a2ba30
134317687
142a0a740
151be40c0
hex1384a04

20466180 has 144 divisors (see below), whose sum is σ = 73032960. Its totient is φ = 4541184.

The previous prime is 20466179. The next prime is 20466227. The reversal of 20466180 is 8166402.

20466180 is a `hidden beast` number, since 2 + 0 + 46 + 618 + 0 = 666.

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, 46401 + ... + 46839.

Almost surely, 220466180 is an apocalyptic number.

20466180 is a gapful number since it is divisible by the number (20) 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 20466180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36516480).

20466180 is an abundant number, since it is smaller than the sum of its proper divisors (52566780).

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

20466180 is a wasteful number, since it uses less digits than its factorization.

20466180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 493 counting only the distinct ones).

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

The square root of 20466180 is about 4523.9562332100. The cubic root of 20466180 is about 273.5345962985.

The spelling of 20466180 in words is "twenty million, four hundred sixty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 439 444 518 555 630 666 740 777 878 1036 1110 1260 1295 1317 1332 1554 1665 1756 2195 2220 2331 2590 2634 3073 3108 3330 3885 3951 4390 4662 5180 5268 6146 6585 6660 7770 7902 8780 9219 9324 11655 12292 13170 15365 15540 15804 16243 18438 19755 23310 26340 27657 30730 32486 36876 39510 46095 46620 48729 55314 61460 64972 79020 81215 92190 97458 110628 113701 138285 146187 162430 184380 194916 227402 243645 276570 292374 324860 341103 454804 487290 553140 568505 584748 682206 730935 974580 1023309 1137010 1364412 1461870 1705515 2046618 2274020 2923740 3411030 4093236 5116545 6822060 10233090 20466180