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196015680 = 2633572463
BaseRepresentation
bin10111010111011…
…11011001000000
3111122211121222000
423223233121000
5400140000210
631241144000
74600051200
oct1353573100
9448747860
10196015680
11a0711533
125578b000
13317c0913
141c066400
151231dac0
hexbaef640

196015680 has 336 divisors, whose sum is σ = 806135040. Its totient is φ = 44706816.

The previous prime is 196015679. The next prime is 196015691. The reversal of 196015680 is 86510691.

196015680 is a `hidden beast` number, since 1 + 96 + 0 + 1 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423129 + ... + 423591.

Almost surely, 2196015680 is an apocalyptic number.

196015680 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 196015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403067520).

196015680 is an abundant number, since it is smaller than the sum of its proper divisors (610119360).

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

196015680 is a wasteful number, since it uses less digits than its factorization.

196015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 196015680 is about 14000.5599888004. The cubic root of 196015680 is about 580.8940630386.

It can be divided in two parts, 19601 and 5680, that added together give a square (25281 = 1592).

The spelling of 196015680 in words is "one hundred ninety-six million, fifteen thousand, six hundred eighty".