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180140070 = 235113117609
BaseRepresentation
bin10101011110010…
…11100000100110
3110112222001201110
422233023200212
5332103440240
625513005450
74315110465
oct1257134046
9415861643
10180140070
11927589a0
12503b3886
132b422876
1419cd29dc
1510c34c80
hexabcb826

180140070 has 64 divisors (see below), whose sum is σ = 486881280. Its totient is φ = 42259200.

The previous prime is 180140047. The next prime is 180140089. The reversal of 180140070 is 70041081.

180140070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1426 + ... + 19034.

It is an arithmetic number, because the mean of its divisors is an integer number (7607520).

Almost surely, 2180140070 is an apocalyptic number.

180140070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180140070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243440640).

180140070 is an abundant number, since it is smaller than the sum of its proper divisors (306741210).

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

180140070 is a wasteful number, since it uses less digits than its factorization.

180140070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17661.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 180140070 is about 13421.6269505601. The cubic root of 180140070 is about 564.7680359298.

The spelling of 180140070 in words is "one hundred eighty million, one hundred forty thousand, seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1705 2046 3410 5115 10230 17609 35218 52827 88045 105654 176090 193699 264135 387398 528270 545879 581097 968495 1091758 1162194 1637637 1936990 2729395 2905485 3275274 5458790 5810970 6004669 8188185 12009338 16376370 18014007 30023345 36028014 60046690 90070035 180140070