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196363440 = 2436571337
BaseRepresentation
bin10111011010001…
…00010010110000
3111200111022000000
423231010102300
5400232112230
631252430000
74603030110
oct1355042260
9450438000
10196363440
11a0929839
1255918300
13318b2cb0
141c117040
151238bb60
hexbb444b0

196363440 has 560 divisors, whose sum is σ = 865236288. Its totient is φ = 40310784.

The previous prime is 196363421. The next prime is 196363441. The reversal of 196363440 is 44363691.

196363440 is a `hidden beast` number, since 19 + 6 + 3 + 634 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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 = 196363395 and 196363404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196363441) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5307102 + ... + 5307138.

Almost surely, 2196363440 is an apocalyptic number.

196363440 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 196363440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432618144).

196363440 is an abundant number, since it is smaller than the sum of its proper divisors (668872848).

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

196363440 is a wasteful number, since it uses less digits than its factorization.

196363440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 196363440 is about 14012.9739884152. The cubic root of 196363440 is about 581.2373899450.

The spelling of 196363440 in words is "one hundred ninety-six million, three hundred sixty-three thousand, four hundred forty".