Search a number
-
+
180236040 = 233517531667
BaseRepresentation
bin10101011111000…
…10111100001000
3110120010221100220
422233202330020
5332120023130
625515030040
74315660335
oct1257427410
9416127326
10180236040
1192814006
125043b320
132b45745a
1419d1998c
1510c53410
hexabe2f08

180236040 has 128 divisors (see below), whose sum is σ = 583666560. Its totient is φ = 44355584.

The previous prime is 180236009. The next prime is 180236059. The reversal of 180236040 is 40632081.

It is a happy number.

180236040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1802360402 = 64970060229763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 180236040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107287 + ... + 108953.

It is an arithmetic number, because the mean of its divisors is an integer number (4559895).

Almost surely, 2180236040 is an apocalyptic number.

180236040 is a gapful number since it is divisible by the number (10) 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 180236040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291833280).

180236040 is an abundant number, since it is smaller than the sum of its proper divisors (403430520).

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

180236040 is a wasteful number, since it uses less digits than its factorization.

180236040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 180236040 is about 13425.2016744628. The cubic root of 180236040 is about 564.8683119096.

The spelling of 180236040 in words is "one hundred eighty million, two hundred thirty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 53 60 68 85 102 106 120 136 159 170 204 212 255 265 318 340 408 424 510 530 636 680 795 901 1020 1060 1272 1590 1667 1802 2040 2120 2703 3180 3334 3604 4505 5001 5406 6360 6668 7208 8335 9010 10002 10812 13336 13515 16670 18020 20004 21624 25005 27030 28339 33340 36040 40008 50010 54060 56678 66680 85017 88351 100020 108120 113356 141695 170034 176702 200040 226712 265053 283390 340068 353404 425085 441755 530106 566780 680136 706808 850170 883510 1060212 1133560 1325265 1501967 1700340 1767020 2120424 2650530 3003934 3400680 3534040 4505901 5301060 6007868 7509835 9011802 10602120 12015736 15019670 18023604 22529505 30039340 36047208 45059010 60078680 90118020 180236040