Search a number
-
+
180484864 = 2872329151
BaseRepresentation
bin10101100000111…
…11101100000000
3110120121120200121
422300133230000
5332201003424
625524230024
74321044640
oct1260375400
9416546617
10180484864
1192973a4a
125053b314
132b5137a1
1419d82520
1510ca1ee4
hexac1fb00

180484864 has 144 divisors (see below), whose sum is σ = 447390720. Its totient is φ = 70963200.

The previous prime is 180484861. The next prime is 180484867. The reversal of 180484864 is 468484081.

It is an interprime number because it is at equal distance from previous prime (180484861) and next prime (180484867).

It is a super-2 number, since 2×1804848642 = 65149572266196992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 180484864.

It is not an unprimeable number, because it can be changed into a prime (180484861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195189 + ... + 1195339.

It is an arithmetic number, because the mean of its divisors is an integer number (3106880).

Almost surely, 2180484864 is an apocalyptic number.

180484864 is a gapful number since it is divisible by the number (14) 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 180484864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223695360).

180484864 is an abundant number, since it is smaller than the sum of its proper divisors (266905856).

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

180484864 is a wasteful number, since it uses less digits than its factorization.

180484864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The square root of 180484864 is about 13434.4655271432. The cubic root of 180484864 is about 565.1281344596.

It can be divided in two parts, 1804 and 84864, that added together give a palindrome (86668).

The spelling of 180484864 in words is "one hundred eighty million, four hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 64 92 112 116 128 151 161 184 203 224 232 256 302 322 368 406 448 464 604 644 667 736 812 896 928 1057 1208 1288 1334 1472 1624 1792 1856 2114 2416 2576 2668 2944 3248 3473 3712 4228 4379 4669 4832 5152 5336 5888 6496 6946 7424 8456 8758 9338 9664 10304 10672 12992 13892 16912 17516 18676 19328 20608 21344 24311 25984 27784 30653 33824 35032 37352 38656 41216 42688 48622 51968 55568 61306 67648 70064 74704 85376 97244 100717 111136 122612 135296 140128 149408 170752 194488 201434 222272 245224 270592 280256 298816 388976 402868 444544 490448 560512 597632 705019 777952 805736 889088 980896 1121024 1195264 1410038 1555904 1611472 1961792 2820076 3111808 3222944 3923584 5640152 6223616 6445888 7847168 11280304 12891776 22560608 25783552 45121216 90242432 180484864