Search a number
-
+
16926000 = 2435371331
BaseRepresentation
bin100000010010…
…0010100110000
31011211221002220
41000210110300
513313113000
61402441040
7263603640
oct100442460
934757086
1016926000
119610833
125803180
1336781b0
142368520
1517451a0
hex1024530

16926000 has 320 divisors, whose sum is σ = 69328896. Its totient is φ = 3456000.

The previous prime is 16925981. The next prime is 16926011. The reversal of 16926000 is 62961.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 545985 + ... + 546015.

Almost surely, 216926000 is an apocalyptic number.

16926000 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 16926000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34664448).

16926000 is an abundant number, since it is smaller than the sum of its proper divisors (52402896).

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

16926000 is a wasteful number, since it uses less digits than its factorization.

16926000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 16926000 is about 4114.1220205531. The cubic root of 16926000 is about 256.7545284926.

Adding to 16926000 its reverse (62961), we get a palindrome (16988961).

The spelling of 16926000 in words is "sixteen million, nine hundred twenty-six thousand".