Search a number
-
+
197837640 = 233457111361
BaseRepresentation
bin10111100101011…
…00001101001000
3111210021012020000
423302230031020
5401121301030
631344203000
74621410060
oct1362541510
9453235200
10197837640
11a1746390
1256309460
1331caacc0
141c3bc3a0
151257d860
hexbcac348

197837640 has 640 divisors, whose sum is σ = 907441920. Its totient is φ = 37324800.

The previous prime is 197837603. The next prime is 197837683. The reversal of 197837640 is 46738791.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3243210 + ... + 3243270.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 2197837640 is an apocalyptic number.

197837640 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 197837640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

197837640 is an abundant number, since it is smaller than the sum of its proper divisors (709604280).

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

197837640 is a wasteful number, since it uses less digits than its factorization.

197837640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 197837640 is about 14065.4768849122. The cubic root of 197837640 is about 582.6883130641.

The spelling of 197837640 in words is "one hundred ninety-seven million, eight hundred thirty-seven thousand, six hundred forty".