Search a number
-
+
1669431960 = 23325721719293
BaseRepresentation
bin110001110000001…
…1000001010011000
311022100022221010100
41203200120022120
511404333310320
6433353415400
756240636400
oct14340301230
94270287110
101669431960
11787394a39
123a710a560
13207b35b81
1411ba09800
159b866790
hex63818298

1669431960 has 576 divisors, whose sum is σ = 7058469600. Its totient is φ = 339075072.

The previous prime is 1669431949. The next prime is 1669432003. The reversal of 1669431960 is 691349661.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5697574 + ... + 5697866.

Almost surely, 21669431960 is an apocalyptic number.

1669431960 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 1669431960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529234800).

1669431960 is an abundant number, since it is smaller than the sum of its proper divisors (5389037640).

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

1669431960 is a wasteful number, since it uses less digits than its factorization.

1669431960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1669431960 is about 40858.6827981520. The cubic root of 1669431960 is about 1186.2864627332.

The spelling of 1669431960 in words is "one billion, six hundred sixty-nine million, four hundred thirty-one thousand, nine hundred sixty".