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196136640 = 2634572347
BaseRepresentation
bin10111011000011…
…00111011000000
3111200001202220000
423230030323000
5400202333030
631243520000
74601063640
oct1354147300
9450052800
10196136640
11a07943a7
1255829000
13318339ab
141c098520
1512344860
hexbb0cec0

196136640 has 560 divisors, whose sum is σ = 849733632. Its totient is φ = 41969664.

The previous prime is 196136627. The next prime is 196136651. The reversal of 196136640 is 46631691.

196136640 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 3 + 6 + 640 = 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 = 196136595 and 196136604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4173097 + ... + 4173143.

Almost surely, 2196136640 is an apocalyptic number.

196136640 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 196136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424866816).

196136640 is an abundant number, since it is smaller than the sum of its proper divisors (653596992).

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

196136640 is a wasteful number, since it uses less digits than its factorization.

196136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 196136640 is about 14004.8791497821. The cubic root of 196136640 is about 581.0135271166.

The spelling of 196136640 in words is "one hundred ninety-six million, one hundred thirty-six thousand, six hundred forty".