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180929980 = 225711176911
BaseRepresentation
bin10101100100011…
…00010110111100
3110121110012021101
422302030112330
5332304224410
625541542444
74324610440
oct1262142674
9417405241
10180929980
1193148410
1250714a24
132b63b27a
141a05a820
1510d3dd3a
hexac8c5bc

180929980 has 96 divisors (see below), whose sum is σ = 501645312. Its totient is φ = 53068800.

The previous prime is 180929941. The next prime is 180930011. The reversal of 180929980 is 89929081.

It is a happy number.

180929980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 180929980.

It is a congruent number.

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, 22725 + ... + 29635.

It is an arithmetic number, because the mean of its divisors is an integer number (5225472).

Almost surely, 2180929980 is an apocalyptic number.

180929980 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 180929980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250822656).

180929980 is an abundant number, since it is smaller than the sum of its proper divisors (320715332).

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

180929980 is a wasteful number, since it uses less digits than its factorization.

180929980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6955 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 46.

The square root of 180929980 is about 13451.0215225462. The cubic root of 180929980 is about 565.5923304798.

The spelling of 180929980 in words is "one hundred eighty million, nine hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 34 35 44 55 68 70 77 85 110 119 140 154 170 187 220 238 308 340 374 385 476 595 748 770 935 1190 1309 1540 1870 2380 2618 3740 5236 6545 6911 13090 13822 26180 27644 34555 48377 69110 76021 96754 117487 138220 152042 193508 234974 241885 304084 380105 469948 483770 532147 587435 760210 822409 967540 1064294 1174870 1292357 1520420 1644818 2128588 2349740 2584714 2660735 3289636 4112045 5169428 5321470 6461785 8224090 9046499 10642940 12923570 16448180 18092998 25847140 36185996 45232495 90464990 180929980