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195488640 = 27365419
BaseRepresentation
bin10111010011011…
…10101110000000
3111121211212000000
423221232232000
5400021114030
631222000000
74562424504
oct1351565600
9447755000
10195488640
11a0391566
1255576000
1331667a69
141bd6a304
1512267860
hexba6eb80

195488640 has 224 divisors, whose sum is σ = 702361800. Its totient is φ = 52005888.

The previous prime is 195488633. The next prime is 195488641. The reversal of 195488640 is 46884591.

195488640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195488641) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 466351 + ... + 466769.

Almost surely, 2195488640 is an apocalyptic number.

195488640 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 195488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351180900).

195488640 is an abundant number, since it is smaller than the sum of its proper divisors (506873160).

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

195488640 is an frugal number, since it uses more digits than its factorization.

195488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 195488640 is about 13981.7252154375. The cubic root of 195488640 is about 580.3729666141.

The spelling of 195488640 in words is "one hundred ninety-five million, four hundred eighty-eight thousand, six hundred forty".