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1673992320 = 273571113267
BaseRepresentation
bin110001111000111…
…0001100010000000
311022122220121202120
41203301301202000
511412020223240
6434035244240
756324462040
oct14361614200
94278817676
101673992320
11789a1a230
123a8749680
13208a71800
1411c475720
159be67ad0
hex63c71880

1673992320 has 768 divisors, whose sum is σ = 7311098880. Its totient is φ = 316293120.

The previous prime is 1673992303. The next prime is 1673992349. The reversal of 1673992320 is 232993761.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24984927 + ... + 24984993.

It is an arithmetic number, because the mean of its divisors is an integer number (9519660).

Almost surely, 21673992320 is an apocalyptic number.

1673992320 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 1673992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655549440).

1673992320 is an abundant number, since it is smaller than the sum of its proper divisors (5637106560).

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

1673992320 is a wasteful number, since it uses less digits than its factorization.

1673992320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 1673992320 is about 40914.4512366963. The cubic root of 1673992320 is about 1187.3656670944.

The spelling of 1673992320 in words is "one billion, six hundred seventy-three million, nine hundred ninety-two thousand, three hundred twenty".