Search a number
-
+
16316328 = 23371729197
BaseRepresentation
bin111110001111…
…011110101000
31010200221210110
4332033132220
513134110303
61341414320
7255454320
oct76173650
933627713
1016316328
119234776
12556a3a0
1334c3842
14224a280
151674703
hexf8f7a8

16316328 has 128 divisors (see below), whose sum is σ = 51321600. Its totient is φ = 4214784.

The previous prime is 16316317. The next prime is 16316347. The reversal of 16316328 is 82361361.

16316328 is a nontrivial binomial coefficient, being equal to C(5713, 2).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16316295 and 16316304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82726 + ... + 82922.

It is an arithmetic number, because the mean of its divisors is an integer number (400950).

Almost surely, 216316328 is an apocalyptic number.

16316328 is the 5712-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16316328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25660800).

16316328 is an abundant number, since it is smaller than the sum of its proper divisors (35005272).

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

16316328 is a wasteful number, since it uses less digits than its factorization.

16316328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 255 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 16316328 is about 4039.3474720554. The cubic root of 16316328 is about 253.6340028113.

Adding to 16316328 its reverse (82361361), we get a palindrome (98677689).

The spelling of 16316328 in words is "sixteen million, three hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 29 34 42 51 56 58 68 84 87 102 116 119 136 168 174 197 203 204 232 238 348 357 394 406 408 476 493 591 609 696 714 788 812 952 986 1182 1218 1379 1428 1479 1576 1624 1972 2364 2436 2758 2856 2958 3349 3451 3944 4137 4728 4872 5516 5713 5916 6698 6902 8274 10047 10353 11032 11426 11832 13396 13804 16548 17139 20094 20706 22852 23443 26792 27608 33096 34278 39991 40188 41412 45704 46886 68556 70329 79982 80376 82824 93772 97121 119973 137112 140658 159964 187544 194242 239946 281316 291363 319928 388484 479892 562632 582726 679847 776968 959784 1165452 1359694 2039541 2330904 2719388 4079082 5438776 8158164 16316328