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16423968 = 25311103151
BaseRepresentation
bin111110101001…
…110000100000
31010220102110010
4332221300200
513201031333
61344004520
7256413201
oct76516040
933812403
1016423968
1192a8630
125600740
133530832
1422775a8
151696563
hexfa9c20

16423968 has 96 divisors (see below), whose sum is σ = 47803392. Its totient is φ = 4896000.

The previous prime is 16423951. The next prime is 16423973. The reversal of 16423968 is 86932461.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108693 + ... + 108843.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 216423968 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 16423968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23901696).

16423968 is an abundant number, since it is smaller than the sum of its proper divisors (31379424).

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

16423968 is a wasteful number, since it uses less digits than its factorization.

16423968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 16423968 is about 4052.6495037198. The cubic root of 16423968 is about 254.1905280951.

It can be divided in two parts, 16423 and 968, that added together give a triangular number (17391 = T186).

The spelling of 16423968 in words is "sixteen million, four hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 132 151 176 206 264 302 309 352 412 453 528 604 618 824 906 1056 1133 1208 1236 1648 1661 1812 2266 2416 2472 3296 3322 3399 3624 4532 4832 4944 4983 6644 6798 7248 9064 9888 9966 13288 13596 14496 15553 18128 19932 26576 27192 31106 36256 39864 46659 53152 54384 62212 79728 93318 108768 124424 159456 171083 186636 248848 342166 373272 497696 513249 684332 746544 1026498 1368664 1493088 2052996 2737328 4105992 5474656 8211984 16423968