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180109380 = 223511318803
BaseRepresentation
bin10101011110001…
…00000001000100
3110112220111121210
422233010001010
5332102000010
625512211420
74314622143
oct1257040104
9415814553
10180109380
1192737930
1250399b70
132b4118c9
1419cc575a
1510c2ab20
hexabc4044

180109380 has 96 divisors (see below), whose sum is σ = 567963648. Its totient is φ = 42249600.

The previous prime is 180109283. The next prime is 180109399. The reversal of 180109380 is 83901081.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16059 + ... + 24861.

It is an arithmetic number, because the mean of its divisors is an integer number (5916288).

Almost surely, 2180109380 is an apocalyptic number.

180109380 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 180109380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283981824).

180109380 is an abundant number, since it is smaller than the sum of its proper divisors (387854268).

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

180109380 is a wasteful number, since it uses less digits than its factorization.

180109380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8857 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 180109380 is about 13420.4835978440. The cubic root of 180109380 is about 564.7359614161.

The spelling of 180109380 in words is "one hundred eighty million, one hundred nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 8803 10230 17606 20460 26409 35212 44015 52818 88030 96833 105636 132045 176060 193666 264090 272893 290499 387332 484165 528180 545786 580998 818679 968330 1091572 1161996 1364465 1452495 1637358 1936660 2728930 2904990 3001823 3274716 4093395 5457860 5809980 6003646 8186790 9005469 12007292 15009115 16373580 18010938 30018230 36021876 45027345 60036460 90054690 180109380