Search a number
-
+
1697411664 = 2432132193671
BaseRepresentation
bin110010100101100…
…0111001001010000
311101021222110001200
41211023013021100
511434014133124
6440233231200
760030522024
oct14513071120
94337873050
101697411664
117a1165563
123b4562500
13210881400
14121610384
159e041bc9
hex652c7250

1697411664 has 180 divisors, whose sum is σ = 5416126560. Its totient is φ = 494657280.

The previous prime is 1697411663. The next prime is 1697411689. The reversal of 1697411664 is 4661147961.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1697411663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 460549 + ... + 464219.

It is an arithmetic number, because the mean of its divisors is an integer number (30089592).

Almost surely, 21697411664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1697411664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708063280).

1697411664 is an abundant number, since it is smaller than the sum of its proper divisors (3718714896).

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

1697411664 is a wasteful number, since it uses less digits than its factorization.

1697411664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730 (or 3708 counting only the distinct ones).

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

The square root of 1697411664 is about 41199.6561150697. The cubic root of 1697411664 is about 1192.8771714123.

It can be divided in two parts, 169741 and 1664, that added together give a triangular number (171405 = T585).

The spelling of 1697411664 in words is "one billion, six hundred ninety-seven million, four hundred eleven thousand, six hundred sixty-four".