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180730872 = 23337235197
BaseRepresentation
bin10101100010110…
…11101111111000
3110121002002011000
422301123233320
5332231341442
625533405000
74323121110
oct1261335770
9417062130
10180730872
1193021863
1250639760
132b59b75a
141a008040
1510ceed4c
hexac5bbf8

180730872 has 128 divisors (see below), whose sum is σ = 598809600. Its totient is φ = 49382784.

The previous prime is 180730867. The next prime is 180730883. The reversal of 180730872 is 278037081.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32178 + ... + 37374.

It is an arithmetic number, because the mean of its divisors is an integer number (4678200).

Almost surely, 2180730872 is an apocalyptic number.

180730872 is a gapful number since it is divisible by the number (12) 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 180730872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299404800).

180730872 is an abundant number, since it is smaller than the sum of its proper divisors (418078728).

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

180730872 is a wasteful number, since it uses less digits than its factorization.

180730872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242 (or 5232 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 180730872 is about 13443.6182629529. The cubic root of 180730872 is about 565.3847818793.

The spelling of 180730872 in words is "one hundred eighty million, seven hundred thirty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 84 92 108 126 138 161 168 184 189 207 216 252 276 322 378 414 483 504 552 621 644 756 828 966 1242 1288 1449 1512 1656 1932 2484 2898 3864 4347 4968 5197 5796 8694 10394 11592 15591 17388 20788 31182 34776 36379 41576 46773 62364 72758 93546 109137 119531 124728 140319 145516 187092 218274 239062 280638 291032 327411 358593 374184 436548 478124 561276 654822 717186 836717 873096 956248 982233 1075779 1122552 1309644 1434372 1673434 1964466 2151558 2510151 2619288 2868744 3227337 3346868 3928932 4303116 5020302 6454674 6693736 7530453 7857864 8606232 10040604 12909348 15060906 20081208 22591359 25818696 30121812 45182718 60243624 90365436 180730872