Search a number
-
+
181668690 = 23357195059
BaseRepresentation
bin10101101010000…
…00101101010010
3110122211201121000
422311000231102
5333001344230
630005442430
74334105220
oct1265005522
9418751530
10181668690
1193602415
1250a10416
132b839588
141a1adb10
1510e37b60
hexad40b52

181668690 has 128 divisors (see below), whose sum is σ = 582912000. Its totient is φ = 39331008.

The previous prime is 181668661. The next prime is 181668703. The reversal of 181668690 is 96866181.

It is a happy number.

It is a super-2 number, since 2×1816686902 = 66007025852632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33381 + ... + 38439.

It is an arithmetic number, because the mean of its divisors is an integer number (4554000).

Almost surely, 2181668690 is an apocalyptic number.

181668690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 181668690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291456000).

181668690 is an abundant number, since it is smaller than the sum of its proper divisors (401243310).

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

181668690 is a wasteful number, since it uses less digits than its factorization.

181668690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 181668690 is about 13478.4528043837. The cubic root of 181668690 is about 566.3610281825.

The spelling of 181668690 in words is "one hundred eighty-one million, six hundred sixty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2394 2565 3591 3990 5059 5130 5985 7182 10118 11970 15177 17955 25295 30354 35413 35910 45531 50590 70826 75885 91062 96121 106239 136593 151770 177065 192242 212478 227655 273186 288363 318717 354130 455310 480605 531195 576726 637434 672847 682965 865089 956151 961210 1062390 1345694 1365930 1441815 1593585 1730178 1912302 2018541 2595267 2883630 3187170 3364235 4037082 4325445 4780755 5190534 6055623 6728470 8650890 9561510 10092705 12111246 12976335 18166869 20185410 25952670 30278115 36333738 60556230 90834345 181668690