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16696064 = 2872113
BaseRepresentation
bin111111101100…
…001100000000
31011102020200202
4333230030000
513233233224
61353504332
7261625400
oct77541400
934366622
1016696064
119474000
1257120a8
1335c7638
142308800
1516ebeae
hexfec300

16696064 has 108 divisors (see below), whose sum is σ = 42641928. Its totient is φ = 6504960.

The previous prime is 16696063. The next prime is 16696067. The reversal of 16696064 is 46069661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (16696063) 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 11 ways as a sum of consecutive naturals, for example, 1517819 + ... + 1517829.

Almost surely, 216696064 is an apocalyptic number.

16696064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21320964).

16696064 is an abundant number, since it is smaller than the sum of its proper divisors (25945864).

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

16696064 is an frugal number, since it uses more digits than its factorization.

16696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 16696064 is about 4086.0817417179. The cubic root of 16696064 is about 255.5865722768.

The spelling of 16696064 in words is "sixteen million, six hundred ninety-six thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 128 154 176 196 224 242 256 308 352 392 448 484 539 616 704 784 847 896 968 1078 1232 1331 1408 1568 1694 1792 1936 2156 2464 2662 2816 3136 3388 3872 4312 4928 5324 5929 6272 6776 7744 8624 9317 9856 10648 11858 12544 13552 15488 17248 18634 19712 21296 23716 27104 30976 34496 37268 42592 47432 54208 65219 68992 74536 85184 94864 108416 130438 137984 149072 170368 189728 216832 260876 298144 340736 379456 521752 596288 758912 1043504 1192576 1517824 2087008 2385152 4174016 8348032 16696064