Search a number
-
+
140180832 = 25321144249
BaseRepresentation
bin10000101101011…
…11110101100000
3100202202220221200
420112233311200
5241341241312
621524321200
73321342321
oct1026576540
9322686850
10140180832
1172145a30
123ab43200
132307174c
1414890448
15c4900dc
hex85afd60

140180832 has 72 divisors (see below), whose sum is σ = 434889000. Its totient is φ = 42478080.

The previous prime is 140180797. The next prime is 140180849. The reversal of 140180832 is 238081041.

140180832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 140180796 and 140180805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18957 + ... + 25292.

It is an arithmetic number, because the mean of its divisors is an integer number (6040125).

Almost surely, 2140180832 is an apocalyptic number.

140180832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140180832 is an abundant number, since it is smaller than the sum of its proper divisors (294708168).

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

140180832 is a wasteful number, since it uses less digits than its factorization.

140180832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44276 (or 44265 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 140180832 is about 11839.7986469365. The cubic root of 140180832 is about 519.4728780679.

The spelling of 140180832 in words is "one hundred forty million, one hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 44249 88498 132747 176996 265494 353992 398241 486739 530988 707984 796482 973478 1061976 1415968 1460217 1592964 1946956 2123952 2920434 3185928 3893912 4247904 4380651 5840868 6371856 7787824 8761302 11681736 12743712 15575648 17522604 23363472 35045208 46726944 70090416 140180832