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1980733920 = 2535111722067
BaseRepresentation
bin111011000001111…
…1001100111100000
312010001002201010120
41312003321213200
513024031441140
6524314000240
7100040650314
oct16603714740
95101081116
101980733920
11927088790
12473416080
13257490009
1414b0c1b44
15b8d591d0
hex760f99e0

1980733920 has 192 divisors, whose sum is σ = 7207232256. Its totient is φ = 451911680.

The previous prime is 1980733919. The next prime is 1980733991. The reversal of 1980733920 is 293370891.

1980733920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78727 + ... + 100793.

It is an arithmetic number, because the mean of its divisors is an integer number (37537668).

Almost surely, 21980733920 is an apocalyptic number.

1980733920 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 1980733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603616128).

1980733920 is an abundant number, since it is smaller than the sum of its proper divisors (5226498336).

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

1980733920 is a wasteful number, since it uses less digits than its factorization.

1980733920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22113 (or 22105 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 1980733920 is about 44505.4369712286. The cubic root of 1980733920 is about 1255.8623660834.

The spelling of 1980733920 in words is "one billion, nine hundred eighty million, seven hundred thirty-three thousand, nine hundred twenty".