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196047540 = 223551329107
BaseRepresentation
bin10111010111101…
…11001010110100
3111122220020200000
423223313022310
5400142010130
631241551300
74600243113
oct1353671264
9448806600
10196047540
11a0733467
12557a5530
1331802280
141c073c7a
1512328260
hexbaf72b4

196047540 has 288 divisors, whose sum is σ = 693463680. Its totient is φ = 46158336.

The previous prime is 196047517. The next prime is 196047541. The reversal of 196047540 is 45740691.

196047540 is a `hidden beast` number, since 1 + 9 + 604 + 7 + 5 + 40 = 666.

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 = 196047495 and 196047504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196047541) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1832167 + ... + 1832273.

It is an arithmetic number, because the mean of its divisors is an integer number (2407860).

Almost surely, 2196047540 is an apocalyptic number.

196047540 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 196047540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

196047540 is an abundant number, since it is smaller than the sum of its proper divisors (497416140).

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

196047540 is a wasteful number, since it uses less digits than its factorization.

196047540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 196047540 is about 14001.6977542011. The cubic root of 196047540 is about 580.9255337900.

The spelling of 196047540 in words is "one hundred ninety-six million, forty-seven thousand, five hundred forty".