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196608960 = 26325193593
BaseRepresentation
bin10111011100000…
…00001111000000
3111200221202210100
423232000033000
5400312441320
631302002400
74605101652
oct1356001700
9450852710
10196608960
11a0a87249
1255a16400
133196a982
141c17c6d2
15123d9790
hexbb803c0

196608960 has 168 divisors, whose sum is σ = 712043280. Its totient is φ = 49655808.

The previous prime is 196608949. The next prime is 196608977. The reversal of 196608960 is 69806691.

196608960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52924 + ... + 56516.

Almost surely, 2196608960 is an apocalyptic number.

196608960 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 196608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356021640).

196608960 is an abundant number, since it is smaller than the sum of its proper divisors (515434320).

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

196608960 is a wasteful number, since it uses less digits than its factorization.

196608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3635 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 196608960 is about 14021.7317047503. The cubic root of 196608960 is about 581.4795361217.

The spelling of 196608960 in words is "one hundred ninety-six million, six hundred eight thousand, nine hundred sixty".