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16361312 = 251153877
BaseRepresentation
bin111110011010…
…011101100000
31010210020111112
4332122131200
513142030222
61342402452
7256032422
oct76323540
933706445
1016361312
119265550
125590428
13350b166
14225c812
151682be2
hexf9a760

16361312 has 48 divisors (see below), whose sum is σ = 35843472. Its totient is φ = 7288320.

The previous prime is 16361269. The next prime is 16361341. The reversal of 16361312 is 21316361.

It is a happy number.

It is a super-2 number, since 2×163613122 = 535385060722688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18218 + ... + 19094.

It is an arithmetic number, because the mean of its divisors is an integer number (746739).

Almost surely, 216361312 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 16361312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17921736).

16361312 is an abundant number, since it is smaller than the sum of its proper divisors (19482160).

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

16361312 is a wasteful number, since it uses less digits than its factorization.

16361312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 943 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

The square root of 16361312 is about 4044.9118655417. The cubic root of 16361312 is about 253.8668779765.

Adding to 16361312 its reverse (21316361), we get a palindrome (37677673).

The spelling of 16361312 in words is "sixteen million, three hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 877 1166 1696 1754 2332 3508 4664 7016 9328 9647 14032 18656 19294 28064 38588 46481 77176 92962 154352 185924 308704 371848 511291 743696 1022582 1487392 2045164 4090328 8180656 16361312