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196274640 = 24352331237
BaseRepresentation
bin10111011001011…
…10100111010000
3111200022210012010
423230232213100
5400221242030
631250502520
74602210162
oct1354564720
9450283163
10196274640
11a0879051
1255894a40
1331881753
141c0d2932
15123706b0
hexbb2e9d0

196274640 has 240 divisors, whose sum is σ = 673778304. Its totient is φ = 47139840.

The previous prime is 196274633. The next prime is 196274641. The reversal of 196274640 is 46472691.

It is a happy number.

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

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196274641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5304702 + ... + 5304738.

Almost surely, 2196274640 is an apocalyptic number.

196274640 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 196274640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336889152).

196274640 is an abundant number, since it is smaller than the sum of its proper divisors (477503664).

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

196274640 is a wasteful number, since it uses less digits than its factorization.

196274640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 196274640 is about 14009.8051378311. The cubic root of 196274640 is about 581.1497604920.

The spelling of 196274640 in words is "one hundred ninety-six million, two hundred seventy-four thousand, six hundred forty".