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196024320 = 211335709
BaseRepresentation
bin10111010111100…
…01100000000000
3111122212001211000
423223301200000
5400140234240
631241252000
74600115322
oct1353614000
9448761730
10196024320
11a0717a78
1255794000
13317c482b
141c069612
1512321430
hexbaf1800

196024320 has 192 divisors, whose sum is σ = 697788000. Its totient is φ = 52199424.

The previous prime is 196024291. The next prime is 196024343. The reversal of 196024320 is 23420691.

196024320 is a `hidden beast` number, since 19 + 602 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 276126 + ... + 276834.

Almost surely, 2196024320 is an apocalyptic number.

196024320 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 196024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348894000).

196024320 is an abundant number, since it is smaller than the sum of its proper divisors (501763680).

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

196024320 is an equidigital number, since it uses as much as digits as its factorization.

196024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 196024320 is about 14000.8685444868. The cubic root of 196024320 is about 580.9025978167.

The spelling of 196024320 in words is "one hundred ninety-six million, twenty-four thousand, three hundred twenty".