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196464240 = 243257172293
BaseRepresentation
bin10111011010111…
…00111001110000
3111200200102021100
423231130321300
5400243323430
631254524400
74603630020
oct1355347160
9450612240
10196464240
11a0998545
1255966700
1331919b3b
141c141a80
15123ab960
hexbb5ce70

196464240 has 240 divisors, whose sum is σ = 798752448. Its totient is φ = 42246144.

The previous prime is 196464239. The next prime is 196464271. The reversal of 196464240 is 42464691.

196464240 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 196464195 and 196464204.

It is a congruent number.

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, 84534 + ... + 86826.

Almost surely, 2196464240 is an apocalyptic number.

196464240 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 196464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399376224).

196464240 is an abundant number, since it is smaller than the sum of its proper divisors (602288208).

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

196464240 is a wasteful number, since it uses less digits than its factorization.

196464240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 196464240 is about 14016.5701938812. The cubic root of 196464240 is about 581.3368292068.

The spelling of 196464240 in words is "one hundred ninety-six million, four hundred sixty-four thousand, two hundred forty".