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196452960 = 253511291283
BaseRepresentation
bin10111011010110…
…10001001100000
3111200122211210120
423231122021200
5400242443320
631254400240
74603552104
oct1355321140
9450584716
10196452960
11a0990020
1255960080
1331914972
141c13b904
15123a8440
hexbb5a260

196452960 has 192 divisors, whose sum is σ = 698906880. Its totient is φ = 45946880.

The previous prime is 196452941. The next prime is 196452967. The reversal of 196452960 is 69254691.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196452967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 152479 + ... + 153761.

It is an arithmetic number, because the mean of its divisors is an integer number (3640140).

Almost surely, 2196452960 is an apocalyptic number.

196452960 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 196452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349453440).

196452960 is an abundant number, since it is smaller than the sum of its proper divisors (502453920).

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

196452960 is a wasteful number, since it uses less digits than its factorization.

196452960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 196452960 is about 14016.1678072146. The cubic root of 196452960 is about 581.3257031702.

The spelling of 196452960 in words is "one hundred ninety-six million, four hundred fifty-two thousand, nine hundred sixty".