Search a number
-
+
144270980 = 22571975231
BaseRepresentation
bin10001001100101…
…10011010000100
3101001110201120122
420212112122010
5243413132410
622152121112
73401166050
oct1046263204
9331421518
10144270980
1174489a17
1240396198
1323b74359
1415236c60
15c9ebe55
hex8996684

144270980 has 48 divisors (see below), whose sum is σ = 348074496. Its totient is φ = 49203840.

The previous prime is 144270979. The next prime is 144271013. The reversal of 144270980 is 89072441.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 144270980.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24965 + ... + 30195.

It is an arithmetic number, because the mean of its divisors is an integer number (7251552).

Almost surely, 2144270980 is an apocalyptic number.

144270980 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 144270980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174037248).

144270980 is an abundant number, since it is smaller than the sum of its proper divisors (203803516).

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

144270980 is a wasteful number, since it uses less digits than its factorization.

144270980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5444 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 144270980 is about 12011.2855265371. The cubic root of 144270980 is about 524.4768545371.

The spelling of 144270980 in words is "one hundred forty-four million, two hundred seventy thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 197 394 788 985 1379 1970 2758 3940 5231 5516 6895 10462 13790 20924 26155 27580 36617 52310 73234 104620 146468 183085 366170 732340 1030507 2061014 4122028 5152535 7213549 10305070 14427098 20610140 28854196 36067745 72135490 144270980