Search a number
-
+
16997760 = 2732513227
BaseRepresentation
bin100000011010…
…1110110000000
31011222120112200
41000311312000
513322412020
61404153200
7264323103
oct100656600
934876480
1016997760
11965a73a
125838800
1336a1a60
14238673a
15175b590
hex1035d80

16997760 has 192 divisors, whose sum is σ = 63488880. Its totient is φ = 4165632.

The previous prime is 16997707. The next prime is 16997767. The reversal of 16997760 is 6779961.

It is a tau number, because it is divible by the number of its divisors (192).

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 (16997767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74767 + ... + 74993.

Almost surely, 216997760 is an apocalyptic number.

16997760 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 16997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31744440).

16997760 is an abundant number, since it is smaller than the sum of its proper divisors (46491120).

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

16997760 is a wasteful number, since it uses less digits than its factorization.

16997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 16997760 is about 4122.8339767689. The cubic root of 16997760 is about 257.1168650977.

The spelling of 16997760 in words is "sixteen million, nine hundred ninety-seven thousand, seven hundred sixty".