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1970197020 = 2234511219232
BaseRepresentation
bin111010101101110…
…1101001000011100
312002022021101020000
41311123231020130
513013332301040
6523300054300
766552253431
oct16533551034
95068241200
101970197020
11921141200
1246b994390
13255240c6c
1414993bb88
15b7e77130
hex756ed21c

1970197020 has 540 divisors, whose sum is σ = 7475520360. Its totient is φ = 432812160.

The previous prime is 1970197003. The next prime is 1970197057. The reversal of 1970197020 is 207910791.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 85660729 + ... + 85660751.

Almost surely, 21970197020 is an apocalyptic number.

1970197020 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 1970197020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737760180).

1970197020 is an abundant number, since it is smaller than the sum of its proper divisors (5505323340).

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

1970197020 is a wasteful number, since it uses less digits than its factorization.

1970197020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 1970197020 is about 44386.9014462600. The cubic root of 1970197020 is about 1253.6314706534.

The spelling of 1970197020 in words is "one billion, nine hundred seventy million, one hundred ninety-seven thousand, twenty".