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196536480 = 25357292017
BaseRepresentation
bin10111011011011…
…10100010100000
3111200211002100220
423231232202200
5400303131410
631300243040
74604350440
oct1355564240
9450732326
10196536480
11a0a37848
12559a0480
133194399a
141c160120
15123c3070
hexbb6e8a0

196536480 has 192 divisors, whose sum is σ = 732291840. Its totient is φ = 43352064.

The previous prime is 196536443. The next prime is 196536503. The reversal of 196536480 is 84635691.

196536480 is digitally balanced in base 2, 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96432 + ... + 98448.

It is an arithmetic number, because the mean of its divisors is an integer number (3814020).

Almost surely, 2196536480 is an apocalyptic number.

196536480 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 196536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366145920).

196536480 is an abundant number, since it is smaller than the sum of its proper divisors (535755360).

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

196536480 is a wasteful number, since it uses less digits than its factorization.

196536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 196536480 is about 14019.1469069983. The cubic root of 196536480 is about 581.4080730903.

The spelling of 196536480 in words is "one hundred ninety-six million, five hundred thirty-six thousand, four hundred eighty".