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1660768920 = 23355612801
BaseRepresentation
bin110001011111101…
…0101001010011000
311021202000210200000
41202333111022120
511400124101140
6432444013000
756104205616
oct14277251230
94252023600
101660768920
117825082a8
123a4231160
132060c1a05
1411a7d26b6
159ac04a30
hex62fd5298

1660768920 has 192 divisors, whose sum is σ = 5691198240. Its totient is φ = 435456000.

The previous prime is 1660768883. The next prime is 1660768927. The reversal of 1660768920 is 298670661.

1660768920 is a `hidden beast` number, since 16 + 607 + 6 + 8 + 9 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1660768927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591520 + ... + 594320.

Almost surely, 21660768920 is an apocalyptic number.

1660768920 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 1660768920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845599120).

1660768920 is an abundant number, since it is smaller than the sum of its proper divisors (4030429320).

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

1660768920 is a wasteful number, since it uses less digits than its factorization.

1660768920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1660768920 is about 40752.5326820309. The cubic root of 1660768920 is about 1184.2309382587.

The spelling of 1660768920 in words is "one billion, six hundred sixty million, seven hundred sixty-eight thousand, nine hundred twenty".