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16321968 = 2432138719
BaseRepresentation
bin111110010000…
…110110110000
31010201020112100
4332100312300
513134300333
61341500400
7255506625
oct76206660
933636470
1016321968
119238a33
125571700
1334c6290
14224c34c
151676213
hexf90db0

16321968 has 60 divisors (see below), whose sum is σ = 49198240. Its totient is φ = 5021568.

The previous prime is 16321961. The next prime is 16321999. The reversal of 16321968 is 86912361.

16321968 is a `hidden beast` number, since 1 + 632 + 19 + 6 + 8 = 666.

16321968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (16321961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2488 + ... + 6231.

Almost surely, 216321968 is an apocalyptic number.

16321968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16321968 is an abundant number, since it is smaller than the sum of its proper divisors (32876272).

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

16321968 is a wasteful number, since it uses less digits than its factorization.

16321968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8746 (or 8737 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16321968 is about 4040.0455442977. The cubic root of 16321968 is about 253.6632236626.

It can be divided in two parts, 1632 and 1968, that added together give a square (3600 = 602).

The spelling of 16321968 in words is "sixteen million, three hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 8719 17438 26157 34876 52314 69752 78471 104628 113347 139504 156942 209256 226694 313884 340041 418512 453388 627768 680082 906776 1020123 1255536 1360164 1813552 2040246 2720328 4080492 5440656 8160984 16321968