Search a number
-
+
197381360 = 24511613677
BaseRepresentation
bin10111100001111…
…00110011110000
3111202102000022202
423300330303300
5401012200420
631330322332
74614466601
oct1360746360
9452360282
10197381360
11a14645a0
12561293a8
1331b7b407
141c2ddda8
15124dd575
hexbc3ccf0

197381360 has 80 divisors (see below), whose sum is σ = 508976352. Its totient is φ = 70579200.

The previous prime is 197381297. The next prime is 197381363. The reversal of 197381360 is 63183791.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197381363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51842 + ... + 55518.

Almost surely, 2197381360 is an apocalyptic number.

197381360 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 197381360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254488176).

197381360 is an abundant number, since it is smaller than the sum of its proper divisors (311594992).

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

197381360 is a wasteful number, since it uses less digits than its factorization.

197381360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 197381360 is about 14049.2476666902. The cubic root of 197381360 is about 582.2400099670.

The spelling of 197381360 in words is "one hundred ninety-seven million, three hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 61 80 88 110 122 176 220 244 305 440 488 610 671 880 976 1220 1342 2440 2684 3355 3677 4880 5368 6710 7354 10736 13420 14708 18385 26840 29416 36770 40447 53680 58832 73540 80894 147080 161788 202235 224297 294160 323576 404470 448594 647152 808940 897188 1121485 1617880 1794376 2242970 2467267 3235760 3588752 4485940 4934534 8971880 9869068 12336335 17943760 19738136 24672670 39476272 49345340 98690680 197381360