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195138720 = 253657239
BaseRepresentation
bin10111010000110…
…01010010100000
3111121012002000000
423220121102200
5344423414340
631210300000
74556436360
oct1350312240
9447162000
10195138720
11a0172677
1255427600
13315746ca
141bcb89a0
15121e8d30
hexba194a0

195138720 has 336 divisors, whose sum is σ = 793255680. Its totient is φ = 44416512.

The previous prime is 195138677. The next prime is 195138731. The reversal of 195138720 is 27831591.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816361 + ... + 816599.

It is an arithmetic number, because the mean of its divisors is an integer number (2360880).

Almost surely, 2195138720 is an apocalyptic number.

195138720 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 195138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396627840).

195138720 is an abundant number, since it is smaller than the sum of its proper divisors (598116960).

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

195138720 is an equidigital number, since it uses as much as digits as its factorization.

195138720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 195138720 is about 13969.2061334923. The cubic root of 195138720 is about 580.0264752084.

The spelling of 195138720 in words is "one hundred ninety-five million, one hundred thirty-eight thousand, seven hundred twenty".