Search a number
-
+
141500864 = 263173977
BaseRepresentation
bin10000110111100…
…10000111000000
3100212020222200202
420123302013000
5242211011424
622012504332
73335510651
oct1033620700
9325228622
10141500864
117296776a
123b47b0a8
132341452b
1414b15528
15c6512ae
hex86f21c0

141500864 has 56 divisors (see below), whose sum is σ = 294119808. Its totient is φ = 67461120.

The previous prime is 141500819. The next prime is 141500867. The reversal of 141500864 is 468005141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141500867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144344 + ... + 145320.

Almost surely, 2141500864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147059904).

141500864 is an abundant number, since it is smaller than the sum of its proper divisors (152618944).

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

141500864 is an equidigital number, since it uses as much as digits as its factorization.

141500864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 141500864 is about 11895.4135699437. The cubic root of 141500864 is about 521.0983490346.

The spelling of 141500864 in words is "one hundred forty-one million, five hundred thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 73 124 146 248 292 496 584 977 992 1168 1954 1984 2263 2336 3908 4526 4672 7816 9052 15632 18104 30287 31264 36208 60574 62528 71321 72416 121148 142642 144832 242296 285284 484592 570568 969184 1141136 1938368 2210951 2282272 4421902 4564544 8843804 17687608 35375216 70750432 141500864