Search a number
-
+
16216720 = 2451331503
BaseRepresentation
bin111101110111…
…001010010000
31010111220011021
4331313022100
513122413340
61335325224
7254561032
oct75671220
933456137
1016216720
119176953
125520814
13348a3c0
142221c52
151654e4a
hexf77290

16216720 has 80 divisors (see below), whose sum is σ = 41997312. Its totient is φ = 5783040.

The previous prime is 16216703. The next prime is 16216723. The reversal of 16216720 is 2761261.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (16216723) 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 15 ways as a sum of consecutive naturals, for example, 31989 + ... + 32491.

Almost surely, 216216720 is an apocalyptic number.

16216720 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 16216720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20998656).

16216720 is an abundant number, since it is smaller than the sum of its proper divisors (25780592).

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

16216720 is a wasteful number, since it uses less digits than its factorization.

16216720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 16216720 is about 4026.9988825427. The cubic root of 16216720 is about 253.1168202407.

Adding to 16216720 its reverse (2761261), we get a palindrome (18977981).

The spelling of 16216720 in words is "sixteen million, two hundred sixteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 503 520 620 806 1006 1040 1240 1612 2012 2015 2480 2515 3224 4024 4030 5030 6448 6539 8048 8060 10060 13078 15593 16120 20120 26156 31186 32240 32695 40240 52312 62372 65390 77965 104624 124744 130780 155930 202709 249488 261560 311860 405418 523120 623720 810836 1013545 1247440 1621672 2027090 3243344 4054180 8108360 16216720