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196664960 = 275307289
BaseRepresentation
bin10111011100011…
…01111010000000
3111201001121121102
423232031322000
5400321234320
631303113532
74605424142
oct1356157200
9451047542
10196664960
11a1015328
1255a428a8
133198a2cb
141c194c92
15123eb175
hexbb8de80

196664960 has 32 divisors (see below), whose sum is σ = 470153700. Its totient is φ = 78665728.

The previous prime is 196664957. The next prime is 196664969. The reversal of 196664960 is 69466691.

196664960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 196224064 + 440896 = 14008^2 + 664^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (196664969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 153005 + ... + 154284.

Almost surely, 2196664960 is an apocalyptic number.

196664960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196664960 is an abundant number, since it is smaller than the sum of its proper divisors (273488740).

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

196664960 is an equidigital number, since it uses as much as digits as its factorization.

196664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307308 (or 307296 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 47.

The square root of 196664960 is about 14023.7284628589. The cubic root of 196664960 is about 581.5347383582.

The spelling of 196664960 in words is "one hundred ninety-six million, six hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 307289 614578 1229156 1536445 2458312 3072890 4916624 6145780 9833248 12291560 19666496 24583120 39332992 49166240 98332480 196664960