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16010944 = 262373149
BaseRepresentation
bin111101000100…
…111011000000
31010010102212221
4331010323000
513044322234
61331100424
7253043065
oct75047300
933112787
1016010944
119046294
125441714
133417841
1421aac6c
151613eb4
hexf44ec0

16010944 has 56 divisors (see below), whose sum is σ = 33832800. Its totient is φ = 7501824.

The previous prime is 16010941. The next prime is 16010989. The reversal of 16010944 is 44901061.

It is a super-4 number, since 4×160109444 (a number of 30 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (16010941) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 107382 + ... + 107530.

Almost surely, 216010944 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 16010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916400).

16010944 is an abundant number, since it is smaller than the sum of its proper divisors (17821856).

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

16010944 is a wasteful number, since it uses less digits than its factorization.

16010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 16010944 is about 4001.3677661520. The cubic root of 16010944 is about 252.0416492847.

The spelling of 16010944 in words is "sixteen million, ten thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 146 149 184 292 298 368 584 596 736 1168 1192 1472 1679 2336 2384 3358 3427 4672 4768 6716 6854 9536 10877 13432 13708 21754 26864 27416 43508 53728 54832 87016 107456 109664 174032 219328 250171 348064 500342 696128 1000684 2001368 4002736 8005472 16010944