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1970043120 = 243451916001
BaseRepresentation
bin111010101101100…
…0111100011110000
312002021222120010000
41311123013203300
513013312334440
6523252510000
766551042643
oct16533074360
95067876100
101970043120
11921046611
1246b91b300
132551b8bb6
141498dba5a
15b7e46730
hex756c78f0

1970043120 has 200 divisors, whose sum is σ = 7202820240. Its totient is φ = 497664000.

The previous prime is 1970043091. The next prime is 1970043121. The reversal of 1970043120 is 213400791.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1970043121) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 115120 + ... + 131120.

Almost surely, 21970043120 is an apocalyptic number.

1970043120 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 1970043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601410120).

1970043120 is an abundant number, since it is smaller than the sum of its proper divisors (5232777120).

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

1970043120 is a wasteful number, since it uses less digits than its factorization.

1970043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16045 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1970043120 is about 44385.1677928562. The cubic root of 1970043120 is about 1253.5988277409.

The spelling of 1970043120 in words is "one billion, nine hundred seventy million, forty-three thousand, one hundred twenty".