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141780366 = 232713101857
BaseRepresentation
bin10000111001101…
…10010110001110
3100212210012002200
420130312112032
5242243432431
622022502330
73341053560
oct1034662616
9325705080
10141780366
1173038762
123b5949a6
13234b1810
1414b89330
15c6a8ee6
hex873658e

141780366 has 96 divisors (see below), whose sum is σ = 382269888. Its totient is φ = 36979200.

The previous prime is 141780361. The next prime is 141780403. The reversal of 141780366 is 663087141.

141780366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 141780366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141780361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165010 + ... + 165866.

It is an arithmetic number, because the mean of its divisors is an integer number (3981978).

Almost surely, 2141780366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141780366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191134944).

141780366 is an abundant number, since it is smaller than the sum of its proper divisors (240489522).

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

141780366 is a wasteful number, since it uses less digits than its factorization.

141780366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 141780366 is about 11907.1560836331. The cubic root of 141780366 is about 521.4412261823.

The spelling of 141780366 in words is "one hundred forty-one million, seven hundred eighty thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 101 117 126 182 202 234 273 303 546 606 707 819 857 909 1313 1414 1638 1714 1818 2121 2571 2626 3939 4242 5142 5999 6363 7713 7878 9191 11141 11817 11998 12726 15426 17997 18382 22282 23634 27573 33423 35994 53991 55146 66846 77987 82719 86557 100269 107982 155974 165438 173114 200538 233961 259671 467922 519342 605899 701883 779013 1125241 1211798 1403766 1558026 1817697 2250482 3375723 3635394 5453091 6751446 7876687 10127169 10906182 15753374 20254338 23630061 47260122 70890183 141780366