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16691328 = 273214489
BaseRepresentation
bin111111101011…
…000010000000
31011102000012100
4333223002000
513233110303
61353430400
7261605523
oct77530200
934360170
1016691328
119470495
12570b400
1335c5434
142306bba
1516ea8a3
hexfeb080

16691328 has 48 divisors (see below), whose sum is σ = 48034350. Its totient is φ = 5563392.

The previous prime is 16691321. The next prime is 16691347. The reversal of 16691328 is 82319661.

It can be written as a sum of positive squares in only one way, i.e., 16064064 + 627264 = 4008^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 a junction number, because it is equal to n+sod(n) for n = 16691292 and 16691301.

It is not an unprimeable number, because it can be changed into a prime (16691321) 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 5 ways as a sum of consecutive naturals, for example, 6093 + ... + 8396.

Almost surely, 216691328 is an apocalyptic number.

16691328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16691328 is an abundant number, since it is smaller than the sum of its proper divisors (31343022).

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

16691328 is a wasteful number, since it uses less digits than its factorization.

16691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14509 (or 14494 counting only the distinct ones).

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

The square root of 16691328 is about 4085.5021723162. The cubic root of 16691328 is about 255.5624034572.

The spelling of 16691328 in words is "sixteen million, six hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 14489 28978 43467 57956 86934 115912 130401 173868 231824 260802 347736 463648 521604 695472 927296 1043208 1390944 1854592 2086416 2781888 4172832 5563776 8345664 16691328