Search a number
-
+
1669372320 = 253571131247
BaseRepresentation
bin110001110000000…
…1001100110100000
311022100012220022110
41203200021212200
511404324403240
6433352235320
756240300460
oct14340114640
94270186273
101669372320
11787354150
123a709bb40
13207b14995
1411b9d1ba0
159b853c80
hex638099a0

1669372320 has 576 divisors, whose sum is σ = 6918524928. Its totient is φ = 328550400.

The previous prime is 1669372283. The next prime is 1669372349. The reversal of 1669372320 is 232739661.

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 95 ways as a sum of consecutive naturals, for example, 35518537 + ... + 35518583.

It is an arithmetic number, because the mean of its divisors is an integer number (12011328).

Almost surely, 21669372320 is an apocalyptic number.

1669372320 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 1669372320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459262464).

1669372320 is an abundant number, since it is smaller than the sum of its proper divisors (5249152608).

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

1669372320 is a wasteful number, since it uses less digits than its factorization.

1669372320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 1669372320 is about 40857.9529590018. The cubic root of 1669372320 is about 1186.2723359785.

The spelling of 1669372320 in words is "one billion, six hundred sixty-nine million, three hundred seventy-two thousand, three hundred twenty".