Search a number
-
+
197280144 = 24333131459
BaseRepresentation
bin10111100001001…
…00000110010000
3111202012212111000
423300210012100
5401000431034
631324222000
74613565525
oct1360440620
9452185430
10197280144
11a13a5546
125609a900
1331b44319
141c2b514c
15124bd599
hexbc24190

197280144 has 80 divisors (see below), whose sum is σ = 568465600. Its totient is φ = 65505024.

The previous prime is 197280113. The next prime is 197280157. The reversal of 197280144 is 441082791.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 197280099 and 197280108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134487 + ... + 135945.

It is an arithmetic number, because the mean of its divisors is an integer number (7105820).

Almost surely, 2197280144 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 197280144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284232800).

197280144 is an abundant number, since it is smaller than the sum of its proper divisors (371185456).

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

197280144 is a wasteful number, since it uses less digits than its factorization.

197280144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 197280144 is about 14045.6450190086. The cubic root of 197280144 is about 582.1404698668.

The spelling of 197280144 in words is "one hundred ninety-seven million, two hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 313 432 626 939 1252 1459 1878 2504 2817 2918 3756 4377 5008 5634 5836 7512 8451 8754 11268 11672 13131 15024 16902 17508 22536 23344 26262 33804 35016 39393 45072 52524 67608 70032 78786 105048 135216 157572 210096 315144 456667 630288 913334 1370001 1826668 2740002 3653336 4110003 5480004 7306672 8220006 10960008 12330009 16440012 21920016 24660018 32880024 49320036 65760048 98640072 197280144