Search a number
-
+
196736540 = 2257111331317
BaseRepresentation
bin10111011100111…
…11011000011100
3111201012020210112
423232133120130
5400331032130
631304425152
74606142630
oct1356373034
9451166715
10196736540
11a1064090
1255a781b8
13319b3a70
141c1b2dc0
1512412495
hexbb9f61c

196736540 has 192 divisors, whose sum is σ = 574414848. Its totient is φ = 54604800.

The previous prime is 196736497. The next prime is 196736593. The reversal of 196736540 is 45637691.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 620462 + ... + 620778.

It is an arithmetic number, because the mean of its divisors is an integer number (2991744).

Almost surely, 2196736540 is an apocalyptic number.

196736540 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 196736540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287207424).

196736540 is an abundant number, since it is smaller than the sum of its proper divisors (377678308).

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

196736540 is a wasteful number, since it uses less digits than its factorization.

196736540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 196736540 is about 14026.2803337164. The cubic root of 196736540 is about 581.6052833896.

The spelling of 196736540 in words is "one hundred ninety-six million, seven hundred thirty-six thousand, five hundred forty".