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180382428 = 2232193147181
BaseRepresentation
bin10101100000001…
…10101011011100
3110120102101011200
422300012223130
5332134214203
625522115500
74320140202
oct1260065334
9416371150
10180382428
1192903a96
12504abb90
132b4a8c85
1419d57072
1510c819a3
hexac06adc

180382428 has 144 divisors (see below), whose sum is σ = 508784640. Its totient is φ = 53654400.

The previous prime is 180382421. The next prime is 180382439. The reversal of 180382428 is 824283081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 180382392 and 180382401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180382421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 996498 + ... + 996678.

Almost surely, 2180382428 is an apocalyptic number.

180382428 is a gapful number since it is divisible by the number (18) 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 180382428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254392320).

180382428 is an abundant number, since it is smaller than the sum of its proper divisors (328402212).

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

180382428 is a wasteful number, since it uses less digits than its factorization.

180382428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 180382428 is about 13430.6525530221. The cubic root of 180382428 is about 565.0211995074.

The spelling of 180382428 in words is "one hundred eighty million, three hundred eighty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 47 57 62 76 93 94 114 124 141 171 181 186 188 228 279 282 342 362 372 423 543 558 564 589 684 724 846 893 1086 1116 1178 1457 1629 1692 1767 1786 2172 2356 2679 2914 3258 3439 3534 3572 4371 5301 5358 5611 5828 6516 6878 7068 8037 8507 8742 10317 10602 10716 11222 13113 13756 16074 16833 17014 17484 20634 21204 22444 25521 26226 27683 30951 32148 33666 34028 41268 50499 51042 52452 55366 61902 67332 76563 83049 100998 102084 106609 110732 123804 153126 161633 166098 201996 213218 249147 263717 306252 319827 323266 332196 426436 484899 498294 527434 639654 646532 791151 959481 969798 996588 1054868 1279308 1454697 1582302 1918962 1939596 2373453 2909394 3164604 3837924 4746906 5010623 5818788 9493812 10021246 15031869 20042492 30063738 45095607 60127476 90191214 180382428