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16007072 = 252947367
BaseRepresentation
bin111101000011…
…111110100000
31010010020120112
4331003332200
513044211242
61331030452
7253025564
oct75037640
933106515
1016007072
119043394
12543b428
133415b53
1421a96a4
151612c82
hexf43fa0

16007072 has 48 divisors (see below), whose sum is σ = 33384960. Its totient is φ = 7542528.

The previous prime is 16007041. The next prime is 16007083. The reversal of 16007072 is 27070061.

It is a happy 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, 43433 + ... + 43799.

It is an arithmetic number, because the mean of its divisors is an integer number (695520).

Almost surely, 216007072 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 16007072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16692480).

16007072 is an abundant number, since it is smaller than the sum of its proper divisors (17377888).

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

16007072 is a wasteful number, since it uses less digits than its factorization.

16007072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 16007072 is about 4000.8839023396. The cubic root of 16007072 is about 252.0213301841.

The spelling of 16007072 in words is "sixteen million, seven thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 47 58 94 116 188 232 367 376 464 734 752 928 1363 1468 1504 2726 2936 5452 5872 10643 10904 11744 17249 21286 21808 34498 42572 43616 68996 85144 137992 170288 275984 340576 500221 551968 1000442 2000884 4001768 8003536 16007072